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