Bilal wants to cover the floorof wash room measuring 6 ft by 10 ft with square tiles of the same size. Given that he uses only whole tiles, find the largest possible length of the side of each tile.
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You want the largest common factor of 90 and 120 You can probably work that out in your head but in other circumstances factorise the two numbers into prime factors and pick out the factors that come in both. So
90 = 2 x 3 x 3 x 5
120 = 2 x 2 x 2 x 3 x 5
You can pick one 2 from each, one 3 and one 5 so the highest common factor is 2 x 3 x 5 = 30 so the largest tiles you could use are 30 cm square.
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