Question

find HCF and LCM of 180, 170 and 952 using prime factorization​

Answer 1

Answer:

Step-by-step explanation:Using Prime Factorisation:

2 | 180

2 | 90

3 | 45

3 | 15

.• | 5

2 | 288

2 | 144

2 | 72

2 | 36

2 | 18

3 | 9

.• | 3

Now, Resolve the No.s into product of prime factors

180 = 2 × 2 × 2 × 3 × 3 × 5 = 2³ × 3² × 5

288 = 2 × 2 × 2 × 2 × 2 × 3 × 3 = 2^5 × 3²

•°•

LCM(180, 288) = 2^5 × 3² × 5 = 1440

HCF (288, 180) = 2²× 3² = 36

Answer 2

HCF-

multiples of 180 are-1,2,3,4,5,6,9,10,..180

170-1,2,5,10,..170

952-1,2,3,4,..952

so,hcf=2