Question

    Find the HCF of 36, 108, and

    156.
    A 36 Correct Answer Incorrect Answer
    B 12 Correct Answer Incorrect Answer
    C 16 Correct Answer Incorrect Answer
    D 9 Correct Answer Incorrect Answer

    Solution

    ATQ, List the prime factors of each number: 36 = 22 × 32 108 = 22 × 33 156 = 22 × 3 × 13 Identify the common prime factors with the lowest exponents: The common prime factors are 2 (to the power of 2) and 3 (to the power of 1). Multiply these common prime factors together to find the HCF: HCF = 22 × 3 = 4 × 3 = 12 Hence, the HCF of 36, 108, and 156 is 12.

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