If x = 2³ × 3² × 5³ × 7³,
y = 2² × 3³ × 5⁴ × 7³, and
z = 2⁴ × 3⁴ × 5² × 7⁵,
then H.C.F. of x, y and z is

Question

If x = 2³ × 3² × 5³ × 7³, y = 2² × 3³ × 5⁴ × 7³, and z = 2⁴ × 3⁴ × 5² × 7⁵, then H.C.F. of x, y and z is

Accepted Answer

Correct answer: A — The HCF takes the lowest power of each common prime factor. For x, y and z, the minimum powers are 2^2, 3^2, 5^2 and 7^3. This equals (2 x 3 x 5)^2 x 7^3 = (30)^2 x 7^3.

Answer

A. (30)² × 7³

Answer

B. (15)³ × 7⁴

Answer

C. (30)³ × 7³

Answer

D. 30 × 7⁵

If x = 2³ × 3² × 5³ × 7³, y = 2² × 3³ × 5⁴ × 7³, and z = 2⁴ × 3⁴ × 5² × 7⁵,…