Question

find the largest number that divides 626,3127 and 15628 and leaves remainder of 1,2 and 3 respectively?

Answer 1

Easy way :-
Subtract the remainders from the numbers respectively and then find the HCF of obtained numbers.

Hope this will help u..

Answer 2

Hey friend !!

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