Question

Find the HCF and LCM of 196 and 42 using prime factorization method.​

Answer 1

Answer:

Find the prime factorization of 42. 42 = 2 × 3 × 7.

Find the prime factorization of 196. 196 = 2 × 2 × 7 × 7.

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM: LCM = 2 × 2 × 3 × 7 × 7.

LCM = 588.

Answer 2

Step-by-step explanation:

1. Find the prime factorization of 42
2. 42 = 2 × 3 × 7
3. Find the prime factorization of 196

196 = 2 × 2 × 7 × 7

3. Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

4. LCM = 2 × 2 × 3 × 7 × 7

LCM = 588