Find the HCF and LCM of 17,23 and 29 using prime factorization method.

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Find the HCF and LCM of 17,23 and 29 using prime factorization method.

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1 and 1800

3 and 420

1 and 12043

1and 11339

answer is D.

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Detailed Solution

Given,
The numbers are 17,23 and 29.
The product of prime factors of all three numbers are,

⇒ 17 = 17 × 1 ⇒ 23 = 23 × 1 ⇒ 29 = 29 × 1 ⇒ H C F (17, 23, 29) = 1 ⇒ L C M (17, 23, 29) = 17 × 23 × 29 ⇒ L C M (17, 23, 29) = 11339

Thus, the HCF is 1 and LCM is 11339.
Therefore, option(4) is correct answer

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