There are three heaps of rice weighing 120 kg,144 kg and 204 kg.Find the maximum capacity of a bag so that the rice of each heap can be packed in exact number of bags.

Dear student
The Highest Common Factor will give us the answer
120 = 2x2x3x2x5
144 = 2x2x3x2x2x3
204 = 2x2x3x17
​​​​​​​The H.C.F IS 2x2x3 = 12
Hence, 12 kg is the required mass that is needed so that each rice heap occupies the same number of bags.

Regards

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