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Find the hcf of 196 and 38220 by prime factorisation method |
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Answer» Given : Numbers are 196 and 38220 To find : HCF of 196 and 38220 by prime factorisation method. Solution : 196 and 38220 as a product of its prime FACTORS: Prime factorization of 196 = 2 × 2 × 7 × 7 Prime factorization of 38220 = 2 x 2 x 3 x 5 x 7 x 7 x 13 Here, common factors of 196 and 38220 are 2, 2, 7, and 7 HCF of 196 and 38220 = 2 × 2 × 7 × 7 = 196 Hence, the HCF of 196 and 38220 by prime factorisation method is 196.
Learn more: Use Euclid's DIVISION algorithm to find the HCF of (i) 135 and 225 (ii) 196 and 38220 (iii) 867 and 255 Find the LCM and HCF of the following integers by APPLYING the prime factorization method: (i)12, 15 and 21 (ii)17, 23 and 29 (iii)8, 9 and 25 |
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