Question

find the hcf of 38 220 196

Answer 1

$\bold{Solution}$

$\textbf{By prime factorization method}$

2 | 38
19 | 19
** | 1

2 | 220
2 | 110
2 | 55
11 | 11
** | 1

2 | 196
2 | 98
7 | 49
7 | 7
**| 1

38 = 2 × 19 × 1

220 = 2 × 2 × 2 × 11 × 1

196 = 2 × 2 × 7 × 7 × 1

Therefore the HCF of 38, 220 and 196 = 2 × × 1 = 2

$\boxed{Ans = 2}$

Hope it helps!!

Answer 2

38 = 2 x 19

220 = 2 x 2 x 5 x 11

196 = 2 x 2 x 7 x 7

hcf = 2