SOLUTION: Square tiles are placed on a floor measuring 1650cm by 1275 cm . If the tiles are all alike ,find the largest size they can be

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Question 1197482: Square tiles are placed on a floor measuring 1650cm by 1275 cm . If the tiles are all alike ,find the largest size they can be
Answer by ikleyn(52854) About Me  (Show Source):
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The largest size is the largest common divisor of the numbers 1650 and 1275.

The largest common divisor is 75, in this case.

Indeed, it is easily to see that both given numbers are multiples of 25 and 3.

The last fact is due to the reason that the sum of digits of each of these numbers is a multiple of 3.


ANSWER.   The largest size of the square tiles is 75 cm.