SOLUTION: The floor of a hall 252 cm long,162cm wide is paved with equql squares .Find the largest size of marble and number required ,if only whole marbles are used.

Question 206097: The floor of a hall 252 cm long,162cm wide is paved with equql squares .Find the largest size of marble and number required ,if only whole marbles are used.
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
Let's find the factors of each dimension
.
252 factors to 2^2 * 3^2 *7
.
and 162 factors to 2*3^4
.
GCF = 2* 3^2 =18
.
252/18 = 14 pieces......162/18=9 pieces
.
total squares required is 14 *9 =126
.
check, 18*18=324,,,252*162 = 40824,,,,,40824/324 = 126,,ok

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