Question

Find the HCF and LCM of 260 and 910 by prime factorisation method.

Answer 1

Prime factors of 260 = 2 × 2 × 5 × 13

Prime factors of 910 = 2 × 5 × 7 × 13

∵ HCF is the product of the smallest power of each common prime factor involved in the numbers.

Therefore, HCF (260, 910) = 2 × 5 × 13 = 130

∵ LCM is the product of the greatest power of each prime factor involved in the numbers.

Therefore, LCM (260, 910) = 2 × 2 × 5 × 7 × 13 = 1820

Hence, HCF = 130 and LCM = 1820