At Mr. McBerry’s farm, new fruit trees are being planted. There are 160 pear trees, 224 peach trees, and 320 plum trees. Find the maximum number of trees that can be planted in each row if Mr. McBerry wants the same number of trees in each row.
To find the maximum number of trees that can be planted in each row, we need to determine the greatest common divisor (GCD) of the numbers of pear, peach, and plum trees.
First, we list the factors of each number:
Factors of 160: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Factors of 224: 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Factors of 320: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Now we find the common factors:
Common factors: 1, 2, 4, 8, 16
From the common factors, we can see that the GCD of 160, 224, and 320 is 16.
Therefore, the maximum number of trees that can be planted in each row is 16.