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 Math Central Quandaries & Queries
 Question from Jeverzyck: A rectangular board is 108cm wide and 156 cm long. Equal squares as large as possible are ruled off this board. Find the size of the square. How many squares are there?

HI,

I assume the dimensions of the squares are integers. Suppose a side of the square us $s$ cm, then $s$ must divide 108 and 156. What is the largest integer that divides both 108 and 156? It may help to write 108 and 156 as the product of primes.

I hope this helps,
Penny