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प्रश्न
Find the HCF and LCM of 260 and 910 by prime factorisation method.
योग
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उत्तर
Prime factors of 260 = 2 × 2 × 5 × 13
Prime factors of 910 = 2 × 5 × 7 × 13
∵ HCF is the product of the smallest power of each common prime factor involved in the numbers.
Therefore, HCF (260, 910) = 2 × 5 × 13 = 130
∵ LCM is the product of the greatest power of each prime factor involved in the numbers.
Therefore, LCM (260, 910) = 2 × 2 × 5 × 7 × 13 = 1820
Hence, HCF = 130 and LCM = 1820
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