Question

Using prime factorisation, find the HCF and LCM of:
(1.)96,404​

Answer 1

Given :-

Using prime factorisation , find the HCF and LCM of 96,404

Solution :-

HCF of 96 , 404

2 | 96 2 | 404

2 | 48 2 | 202

2 | 24 101 | 101

2 | 12 | 1

2 | 6

3 | 3

| 1

Here, The common factors are 2 × 2 = 4

so, 4 is the HCF of 96 and 404

As we know, LCM × HCF = Product of the numbers

let LCM be x,

→ x × 4 = 96 × 404

→ 4x = 96 × 404

→ x = 96 × 404 / 4

→ x = 9696

LCM = 9696 HCF = 4

Thank You!