Question

Find the largest number that divided 1251, 9377, 15628

Answer 1

Answer:

the largest number that divide is 9377 by 3

Answer 2

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

We have to find the H.C.F. of (1251−1=1250) ,(9377−2=9375), (15628−3=15625),

Find H.C.F of 1250 and 9375 :-

9375=1250×7+625

1250=625×2+0

Since, remainder is 0, the H.C.F is 625

Now, H.C.F of (625,15625) is

15625=625×25+0

Hence 625 is the H.C.F of all the three numbers and divides 1251,9377 and 15628 leaving remainders 1,2 and 3, respectively.

Hope it helps!