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Find the HCF and LCM of 510 and 92 using prime factorization method.

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2 and 23460

13 and 42076

13and 1822

1and 1130

answer is A.

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Detailed Solution

Given,
The numbers are 510 and 92.
The product of prime factors of all three numbers are,

⇒ 510 = 2 × 3 × 17 × 5 × 1 ⇒ 92 = 2 × 2 × 23 × 1 ⇒ H C F (510, 92) = 2 ⇒ L C M (510, 92) = 2 × 2 × 3 × 5 × 17 × 23 ⇒ L C M (510, 92) = 23460

Thus, the HCF is 2 and LCM is 23460.
Therefore, option(1) is correct answer

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