Question

Find the hcf of the following numbers by long division method
(a) 56 and 78
(b) 96 and 218
(c) 48,70 and 130
(d) 95, 105 and 315
(e) 142,304 and 560
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Answer 1

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Answer 2

Given  : 56 and 78

To Find :  hcf  by long division

Solution:

56 and 78

   56 _| 78 |_1

            56

         _____

           22  _|  56 | _ 2

                      44

                     ____

                      12  _|  22 | _ 1

                                12

                               ___

                                10  _|  12 |_ 1

                                          10

                                      _____

                                          2 _|   10  |_ 5

                                                     10

                                                   ____

                                                        0

Hence HCF is  2

Similarly HCF for 96 and 218 is 2

HCF for  48,70 and 130 is 2

HCF for  95, 105 and 315 is 5

HCF for  42,304 and 560 is 2

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