Question

H.C.F of the given no. Is double the greater no. And the difference between smaller no. And G.C.F is 4 therefore the smaller no. Is

Answer 1

The Highest common factor of a & b is 4.

The greater one (call that a) is 8.

Using the prime factor method of finding HCF :

a=8=23

HCF=22

Therefore b=22×x

The HCF is created by collecting together the common prime factors of the values and using the lowest exponents within the factorisations.

where x is some number greater than 2.

if x=1 then b=4

if x=2 then b=8 - so the HCF of 8 & 8 can’t be 4

if x>=3 then b>=12 which contradicts the statement that a is the greatest.

\therefore a=4