Question
Find the HCF of 36, 108, and
156.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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