8. The LCM of 25 and 65 is 325. Find their HCF.

1.	8. The LCM of 25 and 65 is 325. Find their HCF.
Answer» Given numbers are 25 and 65 Prime factorization of 25 = 5 x 5 Prime factorization of 65 = 5 x 13 HCF of 25 and 65 = 5 LCM of 25 and 65= 5 x 5 x 13 = 325 Product of the given numbers = 25 x 65 = 1, 625 Product of their HCF and LCM = 5 x 325 = 1, 625 Therefore, Product of the number = Product of their HCF and LCM

Answer»

Given numbers are 25 and 65

Prime factorization of 25 = 5 x 5

Prime factorization of 65 = 5 x 13

HCF of 25 and 65 = 5

LCM of 25 and 65= 5 x 5 x 13 = 325

Product of the given numbers = 25 x 65 = 1, 625

Product of their HCF and LCM = 5 x 325 = 1, 625

Therefore, Product of the number = Product of their HCF and LCM

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