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A milkman produces 364, 294 litres of milk of buffalo and cow respectively and have 98 litres of water in it. If he wants to fill the in the small bottles, then how many bottle sizes are possible such that bottle size in terms of litre and integer?

A milkman produces 364, 294 litres of milk of buffalo and cow respectively and have 98 litres of water in it. If he wants to fill the in the small bottles, then how many bottle sizes are possible such that bottle size in terms of litre and integer? Correct Answer 4

Maximum size of each bottle is HCF of (364 294 and 98) = 14

Number of bottle possible will be the divisor of 14

14/1 = 14

14/2 = 7

14/7 = 2

∴ sizes of bottle possible are 4 viz. (size of each bottle will be 1, 2, 7 and 14)

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