# Tiles

Hall has dimensions 325 &time; 170 dm. What is the largest size of square tiles that can be entire hall tiled and how many we need them?

Result

a =  50 cm
b =  50 cm
n =  2210

#### Solution:

$GCD(325, 170) = 5 \ dm \ \\ a = 50 \ \text{ cm }$
$b = a = 50 \ \text{ cm }$
$n = 325 \cdot 170 / 5^2 = 2210$

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