Question

if a and b are two positive co-prime integer such that a=12b then hcf of (a,b)=__________ pls with full explanation !​

Answer 1

Answer:

b

Explanation:

coprimes means having no common factors except 1...and since....a & b are coprimes...

hcf ( a, b ) = 1

now...a = 12b which implies...

hcf ( a, b ) = hcf (12b, b) = b

Note : b is the highest number which divides 12b & b

Answer 2

As we know that coprime numbers have HCF is 1.

Let us consider a and b are a co-prime number.

$HCF(a,b) = 1$

Given: $a=12b$

HCF of a and b is,

  $HCF(a,b)=HCF(12b,b)$

$HCF(12b,b)=b$

Hence, $HCF(a,b)$ is $b$.