What is the HCF of 96 and 404?
A2
B8
C4
D12
Answer & Solution
Correct answer: C. 4
1. Factorise both numbers into primes.
2. 96 = 2^5 x 3.
3. 404 = 2^2 x 101.
4. The common primes are only the 2s, and the lower power is 2^2.
5. So the HCF is 4. It cannot be 8 or 12, since 404 is not divisible by either.
_Source: NCERT Class 10 Maths, Ch 1 'Real Numbers', S1.2 The Fundamental Theorem of Arithmetic_
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