Ivan wants to plant vegetable starts in his garden. He wanted an equal number of plants in each row but didn't want to have rows of mixed plants and wanted as few rows as possible. What's the most number of plants he could put in each row if he has 18 spinach starts, 12 tomato starts, and 36 strawberry starts?
Question
Ivan wants to plant vegetable starts in his garden. He wanted an equal number of plants in each row but didn't want to have rows of mixed plants and wanted as few rows as possible. What's the most number of plants he could put in each row if he has 18 spinach starts, 12 tomato starts, and 36 strawberry starts?
Solution
To solve this problem, we need to find the greatest common divisor (GCD) of the numbers 18, 12, and 36. The GCD is the largest number that can divide each of the given numbers without leaving a remainder.
Here are the steps:
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List the prime factors of each number:
- 18 = 2 * 3 * 3
- 12 = 2 * 2 * 3
- 36 = 2 * 2 * 3 * 3
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Identify the common prime factors:
- The common prime factors are 2 and 3.
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Multiply the common prime factors together:
- 2 * 3 = 6
So, the greatest number of plants Ivan could put in each row is 6.
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