Question

if a and b are two positive integers such that a=14b .Find the HCF of a and b

Answer 1

If a and b are the two +ve integers then
According to Euclid's division lemma
a=bq+r. where 0<=r<b
As a=14b then
14b=b×14+0
So the HCF is b

Answer 2

Answer:

H.C.F of a and b is b.

Step-by-step explanation:

Given a and b are two positive integers

a = 14b … equation (1)

Hence the two positive integers becomes b, 14b

The H. C. F of the two positive integer 14 b, b is b

Since H. C. F denotes highest common factor,

The common term between 14 b and b is b.

Hence b is the H .C .F of the positive integers a and b.

Step-by-step explanation: