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The agriculture class is selling flowers. They want to arrange them so that they are all in equal rows with no row containing different types of flowers. They have 48 pots of Marigolds, 24 pots of Pansies, and 36 pots of Primroses. What is the largest number of flowers they can put in each row?

Question

The agriculture class is selling flowers. They want to arrange them so that they are all in equal rows with no row containing different types of flowers. They have 48 pots of Marigolds, 24 pots of Pansies, and 36 pots of Primroses. What is the largest number of flowers they can put in each row?

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Solution

To solve this problem, we need to find the greatest common divisor (GCD) of the numbers 48, 24, and 36. The GCD is the largest number that can divide all these numbers without leaving a remainder.

Here are the steps:

  1. First, list the factors of each number:

    • Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
    • Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
    • Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
  2. Next, identify the common factors:

    • Common factors of 48, 24, and 36: 1, 2, 3, 4, 6, 12
  3. The largest of these common factors is 12.

So, the largest number of flowers they can put in each row is 12.

This problem has been solved

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