Find the HCF of 132, 204 and 228.

Correct answer: 12

Explanation: ✅ Correct Answer: A) 12 📚 Explanation: Step 1: Write down the prime factorization for each of the three given numbers: $$132 = 2^2 \times 3 \times 11 = 4 \times 3 \times 11$$ $$204 = 2^2 \times 3 \times 17 = 4 \times 3 \times 17$$ $$228 = 2^2 \times 3 \times 19 = 4 \times 3 \times 19$$ Step 2: Identify the common lowest powers of prime factors present across all three terms. The common factors are $2^2$ and $3$. Step 3: Multiply these common prime bases together to evaluate the Highest Common Factor (H.C.F.): $$\text{H.C.F.} = 2^2 \times 3 = 4 \times 3 = 12$$