Question

Which is the largest number that divides 1539 and 304 completely? Need steps

Answer 1

Answer:

the largest no. that can divide 1539 and 304 will be their HCF

1539= 304×5+19

304=19×16+0

hence,HCF is 19

so, the largest no. that can divides 1539 and 304 is 19.

Answer 2

Given:

There are two number which are 1539 and 304.

To Find:

Which is the largest number that divides 1539 and 304 completely?

Solution:

The largest number that divides 1539 and 304 completely is H.C.F of numbers 1539 and 304:

H.C.F of numbers can be find by prime factorization method:

Prime factorization of number are given below:

304 = 2 ×2 ×2 ×2 ×19

1539 = 3 ×3 ×3 ×3 ×19

From above, it is clear that 19 is common in both prime factorization:

So

H.C.F = 19

It means 19 is the largest number that divides 1539 and 304 completely.