Question

Find the largest no. that divides 626, 3137 and 15628 leaving remainders 1, 2 and 3 respectively.

Answer 1

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5 is the larget number that divides 626,3137 and 15628 leaving remainders 1, 2 and 3 respectively.


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Answer 2

Steps to be followed :-

1) Subtract the given remainders from the numbers that are given :-

626 - 1 = 625

3127 - 2 = 3125

15628 - 3 = 15625

2) Find the HCF of 625 , 3125 , 15625 .

15625 = 5 x 5 x 5 x 5 x 5 x 5

3125 = 5 x 5 x 5 x 5 x 5

625 = 5 x 5 x 5 x 5

HCF = 5 x 5 x 5 x 5 = 625

3)  625 is the  largest number that divides 626, 3127 and 15628 and leaves remainder of 1,2 and 3 respectively.