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Real Numbers
RD Sharma
CBSE
Grade 10

Question:

Find the HCF of $506$ and $1155$ by prime factorisation.

Step-by-Step Solution

Key Concept: Canonical prime factorisation.
$506 = 2 \times 11 \times 23$. [1.0 Mark]
$1155 = 3 \times 5 \times 7 \times 11$. [1.0 Mark]
$\text{HCF}(506, 1155) = 11$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Prime factorisation of 506: 1.0 Mark
Prime factorisation of 1155: 1.0 Mark
Evaluating HCF $= 11$: 1.0 Mark

Correct Answer:
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