A conference room is 52 decimeters long and 36 decimeters wide. Now it needs to be paved with square tiles. How many decimeters is the minimum side length of the tiles? How many tiles do you need?

A conference room is 52 decimeters long and 36 decimeters wide. Now it needs to be paved with square tiles. How many decimeters is the minimum side length of the tiles? How many tiles do you need?

52=2×2×13
36=2×2×3×3
The greatest common factor of 52 and 36 is 2 × 2 = 4
So the side length of ceramic tile is at least 4 decimeters
Need such tiles (52 × 36) / (4 × 4) = 117 (pieces)