Question

Use prime factorization to find the H.C.F of the following: (i) 70, 105, 175​

Answer 1

HCF of 70, 105 and 175 by Prime Factorization

HCF of 70, 105 and 175 by Prime FactorizationPrime factorization of 70, 105 and 175 is (2 × 5 × 7), (3 × 5 × 7) and (5 × 5 × 7) respectively. As visible, 70, 105 and 175 have common prime factors. Hence, the HCF of 70, 105 and 175 is 5 × 7 = 35.

Answer 2

70 = 2*5*7

105= 3*5*7

175= 5*5*7

so hcf = 5*7 = 35

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