Question 4 the day : April 03, 2003

The question for the day is from the topic Number Systems and Number Theory. It is about finding the GCD (Greatest Common Divisor) or HCF (Highest Common Factor) of two numbers.

Question
Find the G.C.D of 12x²y³z², 18x³y²z⁴, and 24xy⁴z³

(1) 6xy²z²
(2) 6x³y⁴z³
(3) 24xy²z²
(4) 18x²y²z³

Correct Choice is (1) and Correct Answer is 6xy²z²

Explanatory Answer

G.C.D of 12, 18 and 24 is 6.

The common factors are x, y, z and their highest powers common to all are 1, 2 and 2 respectively.

Therefore, G.C.D = 6xy²z²

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