Question

6. Find the HCF of the following numbers using prime factorization method
(i) 72, 144 and 252
(ii) 60 and 72
(iii) 225, 1125 and5625​

Answer 1

Answer:

HCF of 144 and 192

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HCF of 144 and 192 is the largest possible number that divides 144 and 192 exactly without any remainder. The factors of 144 and 192 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144 and 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192 respectively. There are 3 commonly used methods to find the HCF of 144 and 192 - Euclidean algorithm, prime factorization, and long division.