Question

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

Answer 1

Answer:

b

Step-by-step explanation:

a = 14b

So, we can clearly see that 14 and b both are factors of a

Factors of a = 14 , b

Factors of b = 1 , b

So, b is a common factor of both a and b

So, b is HCF of a and b

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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.