Three blocks of cheese weighs 690 kg,710 kg,750 kg,for packing the cheese is cut in to pieces of equal weight with no waste .what will be the maximum number of pieces??
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This question requires that we get the GCD.
The GCD of the three is :
690 = 2 × 3 × 5 × 23
710 = 2 × 5 × 71
750 = 2 × 3 × 5 × 5 × 5
THE GCD is :
2 × 5 = 10
The maximum number of pieces is :
690/10 = 69
750/10 = 75
710/10 = 71
69 + 71 + 75 = 215
= 215 pieces
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