Question

Find the greatest number which divides 626, 3127 and 15628 leaving remainders 4, 5 and 6 respectively.​

Answer 1

Answer:

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