Question

Find the H.C.F. of 23 × 32 and 23 × 33?

Answer 1

H.C.F. of fraction is given by H.C.F. of numerator upon L.C.M. of denominator.

H.C.F. of (5, 15, 24) = 1

L.C.M. of (6, 8, 32) = 96

So H.C.F. of (5/6, 15/8, 24/32) = 1/96.

Answer 2

SOLUTION

Factor of 23 × 32 = 23 × 2⁵

Factor of 23 × 33 = 23 × 11 × 3

• HCF (23 × 32 and 23 × 33) = 23