Question

Find the largest number which when divided by 1048 and 1516 leaves a reminder 4 in each case​

Answer 1

Answer:

Subtracting both the numbers with 4 (as it leaves a remainder)

1048 - 4 = 1044

1516 - 4 = 1512

Taking HCF of both numbers

    2      1044                       2   1512

    2        522                       2    756  

    3        261                       2    378

    3         87                        3    189

 29          29                        3     63

                1                            3     21

                                              7        7

                                                        1

1052 = 2 x 2 x 3 x 3 x 29

1520 = 2 x 2 x 2 x 3 x 3 x 3 x 7

 HCF = 2 x 2 x 3 x 3

         = 36

Answer is 36.

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