Question

Using prime factorization, find the HCF and LCM of

8, 9, 25

Answer 1

8 = 2 × 2 × 2 = 2³ 

9 = 3 × 3 = 3² 

25 = 5 × 5 = 5² 

HCF = product of smallest power of each common prime factor in the numbers = 1 

LCM = product of greatest power of each prime factor involved in the numbers = 2³ × 3² × 5² = 1800