Question

Find the HCF by the prime factorisation method for 42,63 and 84

Answer 1

Answer:

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Answer 2

To find:

The HCF of 42, 63 and 84 by prime factorization

Step-by-step explanation:

Refer to the first attachment for the factorization.

Therefore HCF of 42, 63 and 84 = 3 × 7 = 21

ANSWER: Required HCF is 21.

We can also perfect 1 and prime factorization to find the HCF. Refer to the second attachment.

We have obtained,

• 42 = 1 × 2 × 3 × 7
• 63 = 1 × 3 × 3 × 7
• 84 = 1 × 2 × 2 × 3 × 7

We see that the common numbers in 42, 63 and 84 are 1, 3 and 7. Thus we find the required HCF by finding their product.

Therefore HCF of 42, 63 and 84 = 1 × 3 × 7 = 21

ANSWER: Rrquired HCF is 21.