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Dominic has 18 commemorative plates and 15 commemorative spoons. He wants to display them in groups throughout his house, each with the same combination of plates and spoons, with none left over. What is the greatest number of groups Dominic can display?
groups
To find the greatest number of groups Dominic can display, we need to find the greatest common divisor (GCD) of 18 and 15.
The factors of 18 are 1, 2, 3, 6, 9, and 18.
The factors of 15 are 1, 3, 5, and 15.
The common factors of 18 and 15 are 1 and 3.
Therefore, the greatest number of groups Dominic can display is 3.