Question

if A and B are two positive integers such that a is equal to 14 B find the HCF of a and b

Answer 1

clearly you have to find HCF of ( A, B ) i.e. (14B , B)

factor of 14B = 2×7×B
factor of B = B
so Highest common factor is B that is your answer
HCF (A,B) = B

Answer 2

clearly you have to find H.C.F of (A,B) I.e. (14B,B)

Factor of 14B=2×7×B
Factor of B=B
So HCF is B that is you answer
HCF=(A,B)=B