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Find the HCF and LCM of 26 and 91 using prime factorization method.

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12 and 180

13 and 420

13 and 182

1 and 113

answer is C.

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Detailed Solution

Given,
The numbers are 26 and 91.
The product of prime factors of all three numbers are,

⇒ 26 = 2 × 13 × 1 ⇒ 91 = 7 × 13 × 1 ⇒ H C F (26, 91) = 13 ⇒ L C M (26, 91) = 2 × 7 × 13 × 1 ⇒ L C M (26, 91) = 182

Thus, the HCF is 13 and LCM is 182.
Therefore, option(3) is correct answer

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