I want to plant 45 Talong plants and 81 corn plants in my garden.If I plant the same number of plants in each row and each row has one type of plant,what is the greatest number of plants I can plant in one row?
GCD(45,81) = 9
What does the problem asked for
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To find the greatest number of plants you can plant in one row, you need to find the greatest common divisor (GCD) of 45 and 81.
There are several methods to find the GCD, but one common approach is using the Euclidean algorithm. Here's how you can use it to find the GCD of 45 and 81:
1. Divide 81 by 45: 81 ÷ 45 = 1 remainder 36
2. Divide 45 by 36: 45 ÷ 36 = 1 remainder 9
3. Divide 36 by 9: 36 ÷ 9 = 4
Since the remainder is now 0, the GCD is 9. This means that you can plant a maximum of 9 plants in each row to have an equal number of rows for both types of plants.
Therefore, the greatest number of plants you can plant in one row is 9.