Question

Three blocks of cheese weights 690kg,710 kg,750kg for packing the cheese is cut in to pieces of equal weight with no waste.What will be the maximum number of pieces?

Answer 1

Answer:

215

Step-by-step explanation:

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 from each block is :

690/10 = 69

710/10 = 71

750/10 = 75

So the maximum number of pieces = 69 + 71 + 75 = 215