Question

greatest common 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?
1 inch
3 inches
5 inches
6 inches

Explanation:

Step1: Find factors of 30

Factors of 30: \(1, 2, 3, 5, 6, 10, 15, 30\)

Step2: Find factors of 18

Factors of 18: \(1, 2, 3, 6, 9, 18\)

Step3: Identify common factors

Common factors of 30 and 18: \(1, 2, 3, 6\)

Step4: Find the greatest common factor

The greatest common factor (GCF) among these is 6. So the largest square tile side is 6 inches.

Answer:

6 inches (corresponding to the option with "6 inches")