Question
Find the H.C.F of the following numbers using prime factorization method:
84, 120, 138

Answer

84, 120 and 138
Prime factorization of 84 = 2 × 2 × 3 × 7
Prime factorization of 120 = 2 × 2 × 2 × 3 × 5
Prime factorization of 138 = 2 × 3 × 23
Therefore, HCF = 2 × 3 = 6

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