Question

The largest number that divides 888 and 1176 is​

Answer 1

Answer:

Correct option is

A

625

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.

Answer 2

Given: Two numbers 888 and 1176

To find: The largest number that divides 888 and 1176

Solution:

The largest number that can divide 888 and 1176 is the H.C.F (Highest Common Factor) of 888 and 1176.

Calculating H.C.F :-

Using Prime factorization method:

888 = 2 x 2 x 2 x 3 x 37

1176 = 2 x 2 x 2 x 3 x 7 x 7

H.C.F of 888 and 1176 = 2 x 2 x 2 x 3 = 24

(H.C.F is calculated by multiplying the common prime factors of both the numbers.)

Hence, the largest number that divides 888 and 1176 is 24.