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.(1 point)
__ trees per row PLZ HELP BOT
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THE ANSWER IS 32 DONT LISTEN TO THE BOTS
To find the maximum number of trees that can be planted in each row, we need to find the greatest common divisor (GCD) of the three numbers.
First, let's find the GCD of 160 and 224:
- Prime factorize 160: 2 * 2 * 2 * 2 * 2 * 5 = 2^5 * 5
- Prime factorize 224: 2 * 2 * 2 * 2 * 7 = 2^4 * 7
The common prime factors are 2^4 = 16, so the GCD of 160 and 224 is 16.
Now, let's find the GCD of 16 and 320:
- Prime factorize 16: 2 * 2 * 2 * 2 = 2^4
- Prime factorize 320: 2 * 2 * 2 * 2 * 2 * 5 = 2^4 * 5
The common prime factors are 2^4 = 16, so the GCD of 16 and 320 is also 16.
Therefore, the maximum number of trees that can be planted in each row is 16.
To find the maximum number of trees that can be planted in each row, we need to find the greatest common divisor (GCD) of the numbers of pear trees, peach trees, and plum trees.
The GCD of 160, 224, and 320 is 16.
Therefore, the maximum number of trees that can be planted in each row is 16 trees per row.