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The largest number that divides both 60 and 96 exactly (their HCF) is
A6
B4
C24
D12
Answer & Solution
Correct answer: D. 12
1. $60 = 2^2 \times 3 \times 5$, $96 = 2^5 \times 3$.
2. HCF = product of lowest common powers = $2^2 \times 3 = 12$.
3. So 12 is the largest number dividing both.
_Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch8 'Real Numbers', §8.3_
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