Quantitative Aptitude · Number System
Find the HCF (Greatest Common Divisor) of 72 and 108.
Question
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Find the HCF (Greatest Common Divisor) of 72 and 108.
Options
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Explanation
Given
Numbers = 72 and 108
Explanation
Step 1: Prime factorization
72=23×3272 = 2^3 \times 3^2 72=23×32 108=22×33108 = 2^2 \times 3^3 108=22×33Step 2: Take common prime factors with smallest powers
HCF=22×32\text{HCF} = 2^2 \times 3^2 HCF=22×32 HCF=4×9=36\text{HCF} = 4 \times 9 = 36 HCF=4×9=36✅ Answer
36 (Option D)