Question

The H.C.F. of the numbers 3⁷ × 5³ × 2⁴ and 3² × 7⁴ x 2⁸ is .........

A) 2⁴ × 3²

B) 2⁸ × 3⁷ × 5³ × 7⁴

C) 2⁸ × 3⁷

D) 2 × 3 × 5 × 7

Answer 1

Correct option is (A) 2⁴ x 3²

H.C.F. of \(3^7\times5^3\times2^4\) and \(3^2\times7^4\times2^8\)

= Highest common factor of \(3^7\times5^3\times2^4\) and \(3^2\times7^4\times2^8\)

= \(3^2\times2^4\)

Answer 2

Correct option is A) 2⁴ × 3²