find the HFC of the following numbers by prime factorization method a. 75,105
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HCF of 70, 105 and 175 by Prime Factorization
Prime 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.
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Factors of 75 = 3 × 5× 5
Factors of 105 = 3 × 5 ×7
In both 3 and 5 are common ....
So, H.C.F = 3 × 5 = 15
Answer = 15
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