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Three blocks of cheese weigh 650, 680, and 760 pounds respectively. For the purpose of packing and to avoid waste, the cheese is to be cut into pieces of equal weight. The weight of these equal pieces is to be as great as possible. How much should each piece weigh? Thanks.

 Jan 5, 2017
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First find the prime factors

 

nbr.           Prime factors

650.          2.52.13

680.          23.5.17

760.          23.5.19

 

The factors common to all three are 2 and 5, so the weight of each piece should be 2*5 → 10 lbs

 Jan 5, 2017

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