mmon Factor - Applications - Item 20052
You want to use square tiles to cover the top of a table you’re making. The top is 30
inches by 18 inches. What is the side measure of the largest-sized square tile you can
use to cover the tabletop without any overlap or cutting?

To find the side measure of the largest square tile that can perfectly cover the table’s surface, you need to determine the greatest common divisor (GCD) of the table’s dimensions, which are 30 inches and 18 inches. The GCD of these two numbers is 6, meaning the largest square tile you can use has sides measuring 6 inches, allowing you to fit 5 tiles along the length and 3 tiles along the width.

Utilizing the dimensions of your table helps ensure that your project runs smoothly and avoids unnecessary waste. Using 6-inch tiles, you’ll have a neat and tidy finish without the hassle of cutting tiles or dealing with gaps. Plus, you’ll have a sturdy and appealing tabletop that’s just the right size for your design!