MP Board · Class 6 · Mathematics · Playing with NumbersFind the Highest Common Factor (HCF) of 12 and 18.
Step-by-Step Solution
The correct answer is 6.
Explanation:
- Prime factorisation of $12 = 2 \times 2 \times 3$
- Prime factorisation of $18 = 2 \times 3 \times 3$
- Common prime factors = $2 \times 3 = 6$.
- Therefore, $\text{HCF}(12, 18) = 6$.
Detailed Options Breakdown
Option : 2
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Playing with Numbers.
Option 1: 3
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Playing with Numbers.
Option 2: 6 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: 36
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Playing with Numbers.
💡 Study Guide: This question tests core syllabus concepts from Playing with Numbers. For formulas, key summaries, and mock exam reference guides, read the full Playing with Numbers Revision Notes.