Question Bank • QB_GA_081 NAT • 1 Mark

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

Calculate the greatest common divisor (GCD / HCF) of the numbers $144, 216,$ and $360$.

Answer Key:

72

Step-by-Step Solution & Explanation

Prime factorizations: $144 = 2^4 \times 3^2$ $216 = 2^3 \times 3^3$ $360 = 2^3 \times 3^2 \times 5$ $\text{HCF} = 2^3 \times 3^2 = 8 \times 9 = 72$
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