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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?
1 inch
5 inches
3 inches
6 inches
To find the largest square tile that can cover the tabletop without any overlap or cutting, we need to determine the greatest common divisor (GCD) of the dimensions of the table, which are 30 inches and 18 inches.
1. List the factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
2. List the factors of 18: 1, 2, 3, 6, 9, 18
The common factors are: 1, 2, 3, 6.
The largest common factor, or GCD, is 6.
So, the side measure of the largest-sized square tile you can use is 6 inches.