Question

Three farmers have 490kg,588kg and 882kg of wheat respectively.find the maximum capacity of a bag so that the wheat can be packed in exact number of times.​

Answer 1

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Answer 2

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Prime factorization of 490 = 7 × 7 × 5 × 2

Prime factorization of 588 = 2 × 2 × 7 × 7 × 2

Prime factorization of 882 = 2 × 3 × 3 × 7 × 7

So, HCF of 490, 588, 882 = 7 × 7 × 2 = 98

So, the maximum capacity of a bag so that the wheat can be packed in exact number of times = 98 kg