Given that LCM (91, 26) = 182, then HCF (91, 26) = _________.

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Solution

We know that,

Product of two numbers = LCM × HCF

⇒ 91 × 26 = 182 × HCF

$\Rightarrow HCF \times 182 = 91 \times 26 \Rightarrow HCF = \frac{91 \times 26}{182} \Rightarrow HCF = \frac{26}{2} \Rightarrow HCF = 13$

Hence, HCF (91, 26) = 13.

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