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Countdown Maths Class 4 Chapter # 2 Solution

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Adil Aslam

Countdown Maths Class 4 Exercise 2e Solution Allied School , Smart School , Dare Arqam School , Farhan School. Countdown Maths Class 4 , 5 , 6 , 7 Notes Available 3rd Edition. Full Solution

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? ??????? ??? ????????? ? Countdown Mathematics Class 4 Third Edition ??????? # ? ???????? ?? ???????? Please note that all previous notes are deleted due to some reason, So if you want notes then please contact me. Thanks ? Countdown Maths Third Edition Notes also available. Note My Email: adilaslam5959@gmail.com My WhatApp: 03466248138
????? ??: Adil Aslam ???????: Mathematics Class 4 1 | P a g e ???????? ?? ???? ???? # ?? , ?? , ?? ????: ???????? # ? , ? , ? , ? ????? ?? ????. ???????? # ? , ? , ? , ?, ? ????? ?? ???? ????. ?? ??? ???? ???? ??? ?????. ?. ???? ?? ??? ??????. ?. The common factor of 2 and 3 is ____________________. ?. The common factors of 32 and 4 are 2 and _____________________. ?. The common factors of 8 and 16 are __________________________. ?. The common factor of 8 , 10 and 12 is ____________________. ?. The common factor of 12 and 18 are 2 , 3 and _________________. ?. ????? ??????? ??? ????????? ??? ???? ?? ?????. ?. 4 and 6 have no common factors. ( __________ ) ?. 1 , 2 , 3 and 4 are the only common factors of 12 and 24. ( __________ ) ?. 20 is the common factor of 10 and 20. ( ___________ ) ?. Two or more prime numbers have no common factors. ( ____________ ) ?. The common factors of 20 , 30 and 40 are 2 , 5 and 10. ( ___________ ) ? ? ? ? , ? ??? ? ? ? ? ? ? ?
????? ??: Adil Aslam ???????: Mathematics Class 4 2 | P a g e ?. ?????? ??? ??????? ?????? ???? ??? ????? ???????. ?. The common factor of 42 , 56 and 63 is ? 7 ? 6 ? 3 ? 21 ?. 13 is the common factor of ? 39 and 42 ? 26 and 52 ? 52 and 56 ? 45 and 65 ?. The product of 3 and common factor of 81 and 45 is ? 45 ? 81 ? 5 ? 15 ?. The common factors of 26 and 78 are ? 13 only ? 1 ? 1 , 2 and 13 only ? 1 , 2 , 13 and 26 ?. Which of the following is a common factor of 85 and 95 ? 5 ? 17 ? 15 ? 19 ?. ????? ??? ??????? ?? ????? ???? ?? ???????, ??? ?????? ??? ?????? ???????. ?. ?? , ?? ????????: 1 ¡Á 10 = 10 1 ¡Á 18 = 18 2 ¡Á 5 = 10 2 ¡Á 9 = 18 3 ¡Á 6 = 18 Factors of 10 = 1 , 2 , 5 , 10 Factors of 18 = 1 , 2 , 3 , 6 , 9 , 18 ? ? ? ? ?
????? ??: Adil Aslam ???????: Mathematics Class 4 3 | P a g e ?. ?? , ? ????????: 1 ¡Á 12 = 12 1 ¡Á 1 = 1 2 ¡Á 6 = 12 3 ¡Á 4 = 12 Factors of 12 = 1 , 2 , 3 , 4 , 6 , 12 Factors of 1 = 1 ?. ?? , ?? ????????: 1 ¡Á 25 = 25 1 ¡Á 15 = 15 5 ¡Á 5 = 25 3 ¡Á 5 = 15 Factors of 25 = 1 , 5 , 25 Factors of 15 = 1 , 3 , 5 , 15 ?. ?? , ?? ????????: 1 ¡Á 16 = 16 1 ¡Á 20 = 20 2 ¡Á 8 = 16 2 ¡Á 10 = 20 4 ¡Á 4 = 16 4 ¡Á 5 = 20 Factors of 16 = 1 , 2 , 4 , 8 , 16 Factors of 20 = 1 , 2 , 4 , 5 , 10 , 20
????? ??: Adil Aslam ???????: Mathematics Class 4 4 | P a g e ?. ?? , ?? ????????: 1 ¡Á 10 = 10 1 ¡Á 32 = 32 2 ¡Á 5 = 10 2 ¡Á 16 = 32 4 ¡Á 8 = 32 Factors of 10 = 1 , 2 , 5 , 10 Factors of 21 = 1 , 2 , 4 , 8 , 16 , 32 ?. ?? , ?? ????????: 1 ¡Á 14 = 14 1 ¡Á 21 = 21 2 ¡Á 7 = 14 3 ¡Á 7 = 21 Factors of 14 = 1 , 2 , 7 , 14 Factors of 32 = 1 , 3 , 7 , 21 ?. ???? ??? ??? ?? ??? ????????? ????? ?? ???????. ?. ?? , ?? ????????: 1 ¡Á 32 = 32 1 ¡Á 24 = 24 2 ¡Á 16 = 32 2 ¡Á 12 = 24 4 ¡Á 8 = 32 3 ¡Á 8 = 24 4 ¡Á 6 = 24 Factors of 32 = 1 , 2 , 4 , 8 , 16 , 32 Factors of 24 = 1 , 2 , 3 , 4 , 6 , 8 , 12 , 24
????? ??: Adil Aslam ???????: Mathematics Class 4 5 | P a g e Common factors of 32 and 24 = 1 , 2 , 4 , 8 The HCF of 32 and 24 = 8 ?. ?? , ?? ????????: 1 ¡Á 50 = 50 1 ¡Á 25 = 25 2 ¡Á 25 = 50 5 ¡Á 5 = 25 5 ¡Á 10 = 50 Factors of 50 = 1 , 2 , 5 , 10 , 25 , 50 Factors of 25 = 1 , 5 , 25 Common factors of 50 and 25 = 1 , 5 , 25 The HCF of 50 and 25 = 25 ?. ?? , ?? ????????: 1 ¡Á 48 = 48 1 ¡Á 30 = 30 2 ¡Á 24 = 48 2 ¡Á 15 = 30 3 ¡Á 16 = 48 3 ¡Á 10 = 30 4 ¡Á 12 = 48 5 ¡Á 6 = 30 6 ¡Á 8 = 48 Factors of 48 = 1 , 2 , 3 , 4 , 6 , 8 , 12 , 16 , 24 , 48 Factors of 30 = 1 , 2 , 3 , 5 , 6 , 10 , 15 , 30 Common factors of 48 and 30 = 1 , 2 , 3 , 6 The HCF of 48 and 30 = 6
????? ??: Adil Aslam ???????: Mathematics Class 4 6 | P a g e ?. ?? , ?? ????????: 1 ¡Á 42 = 42 1 ¡Á 70 = 70 2 ¡Á 21 = 42 2 ¡Á 35 = 70 3 ¡Á 14 = 42 5 ¡Á 14 = 70 6 ¡Á 7 = 42 7 ¡Á 10 = 70 Factors of 42 = 1 , 2 , 3 , 6 , 7 , 14 , 21 , 42 Factors of 70 = 1 , 2 , 5 , 7 , 10 , 14 , 35 , 70 Common factors of 42 and 70 = 1 , 2, 7 , 14 The HCF of 42 and 70 = 14 ?. ?? , ?? ????????: 1 ¡Á 64 = 64 1 ¡Á 88 = 88 2 ¡Á 32 = 64 2 ¡Á 44 = 88 4 ¡Á 16 = 42 4 ¡Á 22 = 88 8 ¡Á 8 = 64 8 ¡Á 11 = 88 Factors of 64 = 1 , 2 , 4 , 8 , 16 , 32 , 64 Factors of 88 = 1 , 2 , 4 , 8 , 11 , 22 , 44 , 88 Common factors of 64 and 88 = 1 , 2, 4 , 8 The HCF of 64 and 88 = 8
????? ??: Adil Aslam ???????: Mathematics Class 4 7 | P a g e ?. ?? , ?? ????????: 1 ¡Á 76 = 76 1 ¡Á 28 = 28 2 ¡Á 38 = 76 2 ¡Á 14 = 28 4 ¡Á 19 = 76 4 ¡Á 7 = 28 Factors of 76 = 1 , 2 , 4 , 19 , 38 , 76 Factors of 28 = 1 , 2 , 4 , 7 , 14 , 28 Common factors of 76 and 28 = 1 , 2, 4 The HCF of 76 and 28 = 4 ?. ???? ??? ?????? ??????? ??? ??? ?? ???? ?? ??? ????????? ????. ?. ? , ?? ??? ?? ????????: 1 ¡Á 9 = 9 1 ¡Á 12 = 12 1 ¡Á 15 = 15 3 ¡Á 3 = 9 2 ¡Á 6 = 12 3 ¡Á 5 = 15 3 ¡Á 4 = 12 Factors of 9 = 1 , 3 , 9 Factors of 12 = 1 , 2 , 3 , 4 , 6 , 12 Factors of 15 = 1 , 3 , 5 , 15 Common factors of 9 , 12 and 15 = 1 , 3 The HCF of 9 , 12 and 15 = 3
????? ??: Adil Aslam ???????: Mathematics Class 4 8 | P a g e ?. ? , ?? ??? ?? ????????: 1 ¡Á 5 = 5 1 ¡Á 25 = 25 1 ¡Á 35 = 35 5 ¡Á 5 = 25 5 ¡Á 7 = 35 Factors of 5 = 1 , 5 Factors of 25 = 1 , 5 , 25 Factors of 35 = 1 , 5 , 7 , 35 Common factors of 5 , 25 and 35 = 1 , 5 The HCF of 5 , 25 and 35 = 5 ?. ?? , ?? ??? ?? ????????: 1 ¡Á 18 = 18 1 ¡Á 20 = 20 1 ¡Á 24 = 24 2 ¡Á 9 = 18 2 ¡Á 10 = 20 2 ¡Á 12 = 24 3 ¡Á 6 = 18 4 ¡Á 5 = 20 3 ¡Á 8 = 24 4 ¡Á 6 = 24 Factors of 18 = 1 , 2 , 3 , 6 , 9 , 18 Factors of 20 = 1 , 2 , 4 , 5 , 10 , 20 Factors of 24 = 1 , 2 , 3 , 4 , 6 , 8 , 12 , 24 Common factors of 18 , 20 and 24 = 1 , 2 The HCF of 18 , 20 and 24 = 2
????? ??: Adil Aslam ???????: Mathematics Class 4 9 | P a g e ?. ?? , ?? ??? ?? ????????: 1 ¡Á 18 = 18 1 ¡Á 27 = 27 1 ¡Á 39 = 39 2 ¡Á 9 = 18 3 ¡Á 9 = 27 3 ¡Á 13 = 39 3 ¡Á 6 = 18 Factors of 18 = 1 , 2 , 3 , 6 , 9 , 18 Factors of 27 = 1 , 3 , 9 , 27 Factors of 39 = 1 , 3 , 13 , 39 Common factors of 18 , 27 and 39 = 1 , 3 The HCF of 18 , 27 and 39 = 3 ?. ?? , ?? ??? ?? ????????: 1 ¡Á 12 = 12 1 ¡Á 16 = 16 1 ¡Á 20 = 20 2 ¡Á 6 = 12 2 ¡Á 8 = 16 2 ¡Á 10 = 20 3 ¡Á 4 = 12 4 ¡Á 4 = 16 4 ¡Á 5 = 20 Factors of 12 = 1 , 2 , 3 , 4 , 6 , 12 Factors of 16 = 1 , 2 , 4 , 8 , 16 Factors of 20 = 1 , 2 , 4 , 5 , 10 , 20 Common factors of 12 , 16 and 20 = 1 , 2 , 4 The HCF of 12 , 16 and 20 = 4
????? ??: Adil Aslam ???????: Mathematics Class 4 10 | P a g e ?. ?? , ?? ??? ?? ????????: 1 ¡Á 14 = 14 1 ¡Á 49 = 49 1 ¡Á 28 = 28 2 ¡Á 7 = 14 7 ¡Á 7 = 49 2 ¡Á 14 = 28 4 ¡Á 7 = 28 Factors of 14 = 1 , 2 , 7 , 14 Factors of 49 = 1 , 7 , 49 Factors of 28 = 1 , 2 , 4 , 7 , 14 , 28 Common factors of 14 , 49 and 28 = 1 , 7 The HCF of 14 , 49 and 28 = 7 ?. ??? ??? ???????? ?????? ?? ???? ??? ????? ??????? ?? ????? ???????. (????: ??? ????? ?? ????????????) ?. ??? ????????: Thus prime factors of 230 are: 2 ¡Á 5 ¡Á 23 2 230 5 115 23 23 1
????? ??: Adil Aslam ???????: Mathematics Class 4 11 | P a g e ?. ???? ????????: Thus prime factors of 3200 are: 2 ¡Á 2 ¡Á 2 ¡Á 2 ¡Á 2 ¡Á 2 ¡Á 2 ¡Á 5 ¡Á 5 ?. ??? ????????: Thus prime factors of 459 are: 3 ¡Á 3 ¡Á 3 ¡Á 17 2 3200 2 1600 2 800 2 400 2 200 2 100 2 50 5 25 5 5 1 3 459 3 153 3 51 17 17 1
????? ??: Adil Aslam ???????: Mathematics Class 4 12 | P a g e ?. ???? ????????: Thus prime factors of 230 are: 2 ¡Á 5 ¡Á 23 ?. ????? ??? ???????? ??????, ???? ??? ??? ?? ??? ????????? ???????. ?. ?? ??? ?? ????????: Thus the HCF of 12 and 20 = 4 3 4545 3 1515 5 505 101 101 1 12 20 ? 12 8 12 ? 8 4 8 ? 8 1 1 2 ?
????? ??: Adil Aslam ???????: Mathematics Class 4 13 | P a g e ?. ?? ??? ?? ????????: Thus the HCF of 36 and 24 = 12 ?. ?? ??? ?? ????????: Thus the HCF of 14 and 35 = 7 ?. ?? , ?? ??? ?? ????????: 24 36 ? 24 12 24 ? 24 1 2 ? 14 35 ? 28 7 14 ? 14 ? 2 2 30 48 ? 30 18 30 ? 18 12 18 ? 12 6 12 ? 12 ? 1 1 1 2
????? ??: Adil Aslam ???????: Mathematics Class 4 14 | P a g e Now we can find the HCF of 6 and 40 Thus the HCF of 48 , 30 and 40 = 2 ?. ?? , ?? ??? ?? ????????: Now we can find the HCF of 3 and 33 Thus the HCF of 15, 21 and 33 = 3 6 40 ? 36 4 6 ? 4 2 4 ? 4 ? 6 1 2 15 21 ? 15 6 16 ? 12 3 6 ? 6 ? 1 2 2 3 33 ? 3 3 ? 3 11 ?
????? ??: Adil Aslam ???????: Mathematics Class 4 15 | P a g e ?. ??? , ??? ??? ??? ????????: Now we can find the HCF of 11 and 165 Thus the HCF of 121, 132 and 165 = 11 ?. ?????? ??? ????? ???? ??? ?? ? ????? ???????. ?. ? ??? ? ?. ? ??? ?? ?. ? ??? ? ?. ? ??? ?? ?. ? ??? ?? ?. ?? ??? ? 121 132 ? 121 11 121 ? 121 ? 1 11 11 165 ? 11 55 ? 55 ? 15

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Countdown Maths Class 4 Chapter # 2 Solution

  • 1. ? ??????? ??? ????????? ? Countdown Mathematics Class 4 Third Edition ??????? # ? ???????? ?? ???????? Please note that all previous notes are deleted due to some reason, So if you want notes then please contact me. Thanks ? Countdown Maths Third Edition Notes also available. Note My Email: adilaslam5959@gmail.com My WhatApp: 03466248138
  • 2. ????? ??: Adil Aslam ???????: Mathematics Class 4 1 | P a g e ???????? ?? ???? ???? # ?? , ?? , ?? ????: ???????? # ? , ? , ? , ? ????? ?? ????. ???????? # ? , ? , ? , ?, ? ????? ?? ???? ????. ?? ??? ???? ???? ??? ?????. ?. ???? ?? ??? ??????. ?. The common factor of 2 and 3 is ____________________. ?. The common factors of 32 and 4 are 2 and _____________________. ?. The common factors of 8 and 16 are __________________________. ?. The common factor of 8 , 10 and 12 is ____________________. ?. The common factor of 12 and 18 are 2 , 3 and _________________. ?. ????? ??????? ??? ????????? ??? ???? ?? ?????. ?. 4 and 6 have no common factors. ( __________ ) ?. 1 , 2 , 3 and 4 are the only common factors of 12 and 24. ( __________ ) ?. 20 is the common factor of 10 and 20. ( ___________ ) ?. Two or more prime numbers have no common factors. ( ____________ ) ?. The common factors of 20 , 30 and 40 are 2 , 5 and 10. ( ___________ ) ? ? ? ? , ? ??? ? ? ? ? ? ? ?
  • 3. ????? ??: Adil Aslam ???????: Mathematics Class 4 2 | P a g e ?. ?????? ??? ??????? ?????? ???? ??? ????? ???????. ?. The common factor of 42 , 56 and 63 is ? 7 ? 6 ? 3 ? 21 ?. 13 is the common factor of ? 39 and 42 ? 26 and 52 ? 52 and 56 ? 45 and 65 ?. The product of 3 and common factor of 81 and 45 is ? 45 ? 81 ? 5 ? 15 ?. The common factors of 26 and 78 are ? 13 only ? 1 ? 1 , 2 and 13 only ? 1 , 2 , 13 and 26 ?. Which of the following is a common factor of 85 and 95 ? 5 ? 17 ? 15 ? 19 ?. ????? ??? ??????? ?? ????? ???? ?? ???????, ??? ?????? ??? ?????? ???????. ?. ?? , ?? ????????: 1 ¡Á 10 = 10 1 ¡Á 18 = 18 2 ¡Á 5 = 10 2 ¡Á 9 = 18 3 ¡Á 6 = 18 Factors of 10 = 1 , 2 , 5 , 10 Factors of 18 = 1 , 2 , 3 , 6 , 9 , 18 ? ? ? ? ?
  • 4. ????? ??: Adil Aslam ???????: Mathematics Class 4 3 | P a g e ?. ?? , ? ????????: 1 ¡Á 12 = 12 1 ¡Á 1 = 1 2 ¡Á 6 = 12 3 ¡Á 4 = 12 Factors of 12 = 1 , 2 , 3 , 4 , 6 , 12 Factors of 1 = 1 ?. ?? , ?? ????????: 1 ¡Á 25 = 25 1 ¡Á 15 = 15 5 ¡Á 5 = 25 3 ¡Á 5 = 15 Factors of 25 = 1 , 5 , 25 Factors of 15 = 1 , 3 , 5 , 15 ?. ?? , ?? ????????: 1 ¡Á 16 = 16 1 ¡Á 20 = 20 2 ¡Á 8 = 16 2 ¡Á 10 = 20 4 ¡Á 4 = 16 4 ¡Á 5 = 20 Factors of 16 = 1 , 2 , 4 , 8 , 16 Factors of 20 = 1 , 2 , 4 , 5 , 10 , 20
  • 5. ????? ??: Adil Aslam ???????: Mathematics Class 4 4 | P a g e ?. ?? , ?? ????????: 1 ¡Á 10 = 10 1 ¡Á 32 = 32 2 ¡Á 5 = 10 2 ¡Á 16 = 32 4 ¡Á 8 = 32 Factors of 10 = 1 , 2 , 5 , 10 Factors of 21 = 1 , 2 , 4 , 8 , 16 , 32 ?. ?? , ?? ????????: 1 ¡Á 14 = 14 1 ¡Á 21 = 21 2 ¡Á 7 = 14 3 ¡Á 7 = 21 Factors of 14 = 1 , 2 , 7 , 14 Factors of 32 = 1 , 3 , 7 , 21 ?. ???? ??? ??? ?? ??? ????????? ????? ?? ???????. ?. ?? , ?? ????????: 1 ¡Á 32 = 32 1 ¡Á 24 = 24 2 ¡Á 16 = 32 2 ¡Á 12 = 24 4 ¡Á 8 = 32 3 ¡Á 8 = 24 4 ¡Á 6 = 24 Factors of 32 = 1 , 2 , 4 , 8 , 16 , 32 Factors of 24 = 1 , 2 , 3 , 4 , 6 , 8 , 12 , 24
  • 6. ????? ??: Adil Aslam ???????: Mathematics Class 4 5 | P a g e Common factors of 32 and 24 = 1 , 2 , 4 , 8 The HCF of 32 and 24 = 8 ?. ?? , ?? ????????: 1 ¡Á 50 = 50 1 ¡Á 25 = 25 2 ¡Á 25 = 50 5 ¡Á 5 = 25 5 ¡Á 10 = 50 Factors of 50 = 1 , 2 , 5 , 10 , 25 , 50 Factors of 25 = 1 , 5 , 25 Common factors of 50 and 25 = 1 , 5 , 25 The HCF of 50 and 25 = 25 ?. ?? , ?? ????????: 1 ¡Á 48 = 48 1 ¡Á 30 = 30 2 ¡Á 24 = 48 2 ¡Á 15 = 30 3 ¡Á 16 = 48 3 ¡Á 10 = 30 4 ¡Á 12 = 48 5 ¡Á 6 = 30 6 ¡Á 8 = 48 Factors of 48 = 1 , 2 , 3 , 4 , 6 , 8 , 12 , 16 , 24 , 48 Factors of 30 = 1 , 2 , 3 , 5 , 6 , 10 , 15 , 30 Common factors of 48 and 30 = 1 , 2 , 3 , 6 The HCF of 48 and 30 = 6
  • 7. ????? ??: Adil Aslam ???????: Mathematics Class 4 6 | P a g e ?. ?? , ?? ????????: 1 ¡Á 42 = 42 1 ¡Á 70 = 70 2 ¡Á 21 = 42 2 ¡Á 35 = 70 3 ¡Á 14 = 42 5 ¡Á 14 = 70 6 ¡Á 7 = 42 7 ¡Á 10 = 70 Factors of 42 = 1 , 2 , 3 , 6 , 7 , 14 , 21 , 42 Factors of 70 = 1 , 2 , 5 , 7 , 10 , 14 , 35 , 70 Common factors of 42 and 70 = 1 , 2, 7 , 14 The HCF of 42 and 70 = 14 ?. ?? , ?? ????????: 1 ¡Á 64 = 64 1 ¡Á 88 = 88 2 ¡Á 32 = 64 2 ¡Á 44 = 88 4 ¡Á 16 = 42 4 ¡Á 22 = 88 8 ¡Á 8 = 64 8 ¡Á 11 = 88 Factors of 64 = 1 , 2 , 4 , 8 , 16 , 32 , 64 Factors of 88 = 1 , 2 , 4 , 8 , 11 , 22 , 44 , 88 Common factors of 64 and 88 = 1 , 2, 4 , 8 The HCF of 64 and 88 = 8
  • 8. ????? ??: Adil Aslam ???????: Mathematics Class 4 7 | P a g e ?. ?? , ?? ????????: 1 ¡Á 76 = 76 1 ¡Á 28 = 28 2 ¡Á 38 = 76 2 ¡Á 14 = 28 4 ¡Á 19 = 76 4 ¡Á 7 = 28 Factors of 76 = 1 , 2 , 4 , 19 , 38 , 76 Factors of 28 = 1 , 2 , 4 , 7 , 14 , 28 Common factors of 76 and 28 = 1 , 2, 4 The HCF of 76 and 28 = 4 ?. ???? ??? ?????? ??????? ??? ??? ?? ???? ?? ??? ????????? ????. ?. ? , ?? ??? ?? ????????: 1 ¡Á 9 = 9 1 ¡Á 12 = 12 1 ¡Á 15 = 15 3 ¡Á 3 = 9 2 ¡Á 6 = 12 3 ¡Á 5 = 15 3 ¡Á 4 = 12 Factors of 9 = 1 , 3 , 9 Factors of 12 = 1 , 2 , 3 , 4 , 6 , 12 Factors of 15 = 1 , 3 , 5 , 15 Common factors of 9 , 12 and 15 = 1 , 3 The HCF of 9 , 12 and 15 = 3
  • 9. ????? ??: Adil Aslam ???????: Mathematics Class 4 8 | P a g e ?. ? , ?? ??? ?? ????????: 1 ¡Á 5 = 5 1 ¡Á 25 = 25 1 ¡Á 35 = 35 5 ¡Á 5 = 25 5 ¡Á 7 = 35 Factors of 5 = 1 , 5 Factors of 25 = 1 , 5 , 25 Factors of 35 = 1 , 5 , 7 , 35 Common factors of 5 , 25 and 35 = 1 , 5 The HCF of 5 , 25 and 35 = 5 ?. ?? , ?? ??? ?? ????????: 1 ¡Á 18 = 18 1 ¡Á 20 = 20 1 ¡Á 24 = 24 2 ¡Á 9 = 18 2 ¡Á 10 = 20 2 ¡Á 12 = 24 3 ¡Á 6 = 18 4 ¡Á 5 = 20 3 ¡Á 8 = 24 4 ¡Á 6 = 24 Factors of 18 = 1 , 2 , 3 , 6 , 9 , 18 Factors of 20 = 1 , 2 , 4 , 5 , 10 , 20 Factors of 24 = 1 , 2 , 3 , 4 , 6 , 8 , 12 , 24 Common factors of 18 , 20 and 24 = 1 , 2 The HCF of 18 , 20 and 24 = 2
  • 10. ????? ??: Adil Aslam ???????: Mathematics Class 4 9 | P a g e ?. ?? , ?? ??? ?? ????????: 1 ¡Á 18 = 18 1 ¡Á 27 = 27 1 ¡Á 39 = 39 2 ¡Á 9 = 18 3 ¡Á 9 = 27 3 ¡Á 13 = 39 3 ¡Á 6 = 18 Factors of 18 = 1 , 2 , 3 , 6 , 9 , 18 Factors of 27 = 1 , 3 , 9 , 27 Factors of 39 = 1 , 3 , 13 , 39 Common factors of 18 , 27 and 39 = 1 , 3 The HCF of 18 , 27 and 39 = 3 ?. ?? , ?? ??? ?? ????????: 1 ¡Á 12 = 12 1 ¡Á 16 = 16 1 ¡Á 20 = 20 2 ¡Á 6 = 12 2 ¡Á 8 = 16 2 ¡Á 10 = 20 3 ¡Á 4 = 12 4 ¡Á 4 = 16 4 ¡Á 5 = 20 Factors of 12 = 1 , 2 , 3 , 4 , 6 , 12 Factors of 16 = 1 , 2 , 4 , 8 , 16 Factors of 20 = 1 , 2 , 4 , 5 , 10 , 20 Common factors of 12 , 16 and 20 = 1 , 2 , 4 The HCF of 12 , 16 and 20 = 4
  • 11. ????? ??: Adil Aslam ???????: Mathematics Class 4 10 | P a g e ?. ?? , ?? ??? ?? ????????: 1 ¡Á 14 = 14 1 ¡Á 49 = 49 1 ¡Á 28 = 28 2 ¡Á 7 = 14 7 ¡Á 7 = 49 2 ¡Á 14 = 28 4 ¡Á 7 = 28 Factors of 14 = 1 , 2 , 7 , 14 Factors of 49 = 1 , 7 , 49 Factors of 28 = 1 , 2 , 4 , 7 , 14 , 28 Common factors of 14 , 49 and 28 = 1 , 7 The HCF of 14 , 49 and 28 = 7 ?. ??? ??? ???????? ?????? ?? ???? ??? ????? ??????? ?? ????? ???????. (????: ??? ????? ?? ????????????) ?. ??? ????????: Thus prime factors of 230 are: 2 ¡Á 5 ¡Á 23 2 230 5 115 23 23 1
  • 12. ????? ??: Adil Aslam ???????: Mathematics Class 4 11 | P a g e ?. ???? ????????: Thus prime factors of 3200 are: 2 ¡Á 2 ¡Á 2 ¡Á 2 ¡Á 2 ¡Á 2 ¡Á 2 ¡Á 5 ¡Á 5 ?. ??? ????????: Thus prime factors of 459 are: 3 ¡Á 3 ¡Á 3 ¡Á 17 2 3200 2 1600 2 800 2 400 2 200 2 100 2 50 5 25 5 5 1 3 459 3 153 3 51 17 17 1
  • 13. ????? ??: Adil Aslam ???????: Mathematics Class 4 12 | P a g e ?. ???? ????????: Thus prime factors of 230 are: 2 ¡Á 5 ¡Á 23 ?. ????? ??? ???????? ??????, ???? ??? ??? ?? ??? ????????? ???????. ?. ?? ??? ?? ????????: Thus the HCF of 12 and 20 = 4 3 4545 3 1515 5 505 101 101 1 12 20 ? 12 8 12 ? 8 4 8 ? 8 1 1 2 ?
  • 14. ????? ??: Adil Aslam ???????: Mathematics Class 4 13 | P a g e ?. ?? ??? ?? ????????: Thus the HCF of 36 and 24 = 12 ?. ?? ??? ?? ????????: Thus the HCF of 14 and 35 = 7 ?. ?? , ?? ??? ?? ????????: 24 36 ? 24 12 24 ? 24 1 2 ? 14 35 ? 28 7 14 ? 14 ? 2 2 30 48 ? 30 18 30 ? 18 12 18 ? 12 6 12 ? 12 ? 1 1 1 2
  • 15. ????? ??: Adil Aslam ???????: Mathematics Class 4 14 | P a g e Now we can find the HCF of 6 and 40 Thus the HCF of 48 , 30 and 40 = 2 ?. ?? , ?? ??? ?? ????????: Now we can find the HCF of 3 and 33 Thus the HCF of 15, 21 and 33 = 3 6 40 ? 36 4 6 ? 4 2 4 ? 4 ? 6 1 2 15 21 ? 15 6 16 ? 12 3 6 ? 6 ? 1 2 2 3 33 ? 3 3 ? 3 11 ?
  • 16. ????? ??: Adil Aslam ???????: Mathematics Class 4 15 | P a g e ?. ??? , ??? ??? ??? ????????: Now we can find the HCF of 11 and 165 Thus the HCF of 121, 132 and 165 = 11 ?. ?????? ??? ????? ???? ??? ?? ? ????? ???????. ?. ? ??? ? ?. ? ??? ?? ?. ? ??? ? ?. ? ??? ?? ?. ? ??? ?? ?. ?? ??? ? 121 132 ? 121 11 121 ? 121 ? 1 11 11 165 ? 11 55 ? 55 ? 15