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Real Numbers
RD Sharma
CBSE
Grade 10

Question:

Find the HCF of $180, 252$ and $324$ by prime factorisation method.

Step-by-Step Solution

Key Concept: Canonical prime factorisation of 3 numbers.
$180 = 2^2 \times 3^2 \times 5$, $252 = 2^2 \times 3^2 \times 7$, $324 = 2^2 \times 3^4$. [1.0 Mark]
$\text{HCF} = 2^2 \times 3^2 = 4 \times 9 = 36$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Prime factorisation of 180, 252, 324: 1.0 Mark
Evaluating HCF $= 36$: 1.0 Mark

Correct Answer:
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