Question

find the largest number which exactly devices 626,3127 & 15628 leaving remainder 1,2,3 respectively

Answer 1

Hey friend !!
Steps to be followed :-
1) Subtract the given remainders from the numbers that are given :-626 - 1 = 6253127 - 2 = 312515628 - 3 = 15625
2) Find the HCF of 625 , 3125 , 15625 .15625 = 5 x 5 x 5 x 5 x 5 x 53125 = 5 x 5 x 5 x 5 x 5625 = 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
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