(Originais Teachy 2023) - Question Medium of Mathematics

The director of the school where you study is renovating the sports court and decided to use rectangular tile plates, with integer width and length in centimeters, to compose the floor. To facilitate maintenance and cleaning of the room, she wants the plates to have equal sizes in both length and width. Knowing that the sports court is 540 centimeters long and 360 centimeters wide, the director asked for your help to find out the measurements of the tile plates she will use. (a) Find the Greatest Common Divisor (GCD) between the length and width of the sports court. (b) Determine the dimensions of the tile plates that the director should use in the court renovation. (c) Indicate how many tile plates will be needed.