Question

HCF OF (3³ x 5² x 2), (3² x 5³ x 2²) and (3⁴ x 5 x 2³) is 

(A) 450 

(B) 90 

(C) 180 

(D) 630

Answer 1

Correct option is (B) 90

HCF = \((3^3 \times 5^2 \times 2, 3^2 \times 5^3 \times 2^2, 3^4 \times 5 \times 2^3)\)

H.C.F. = Product of smallest power of each common prime factor in the numbers

\(= 2 \times 3^2 \times 5\)

\(= 2 \times 3^2 \times 5\)

\(= 90\)

Answer 2

HCF of: (3³ x 5² x 2), (3² x 5³ x 2²) and (3⁴ x 5 x 2³)

HCF means the Highest Common Factor which is divisible by all three numbers here

To calculate the HCF, let's find out the common numbers in all three;

» 3² x 5 x 2 

» 90

⇒ HCF = 90