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Answer :
Final answer:
Explanation of determining the HCF of 330 and 396 using prime factorization. Therefore, the HCF of 330 and 396 is 66.
Explanation:
Prime factorization of 330:
- 330 = 2 x 165
- 165 = 3 x 55
- 55 = 5 x 11
- So 330 = 2 x3 x 5 x 11
Prime factorization of 396:
- 396 = 2 x 198
- 198 = 2 x 99
- 99 = 3 x 33
- 33 = 3 x 11
- So 396 = 2 x 2 x 3 x 3 x 11
Common prime factors: 2 x 3 x 11 = 66
Therefore, the HCF of 330 and 396 is 66.
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