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What is the gcf of 30 and 204?

Updated: 8/20/2019
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11y ago

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The Greatest Common Factor (GCF) of 30 and 204 is 6.

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11y ago
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Q: What is the gcf of 30 and 204?
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The GCF is 6.


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The GCF of 204 and 96 is 12.


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Since 12 is a factor of 204, it is automatically the GCF.


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What is the easiest way to find the GCF?

I am asssuming that the numbers are too large for you to simply see them and "know" their GCF. The easiest way to find the GCF of 2 numbers is the Euclidean method. It is somewhat awkward to explain but once understood, is very easy to use. The idea here is to make the numbers that you are dealing with smaller and smaller so as to simplify the problem. Suppose you start with the two numbers p and q where p > q. Assume that they are not equal for if p = q, then their GCF is p (or q). The GCF of p and q is the same as the GCF of the smaller number, (say q), and p-q. Repeat this process and keep going until the two numbers are the same. So, for example, ket us try to find the GCF of 1836 and 1428 GCF(1836, 1428)] = GCF(1428, 1836-1428) = GCF(1428, 408) = GCF(408, 1428-408) = GCF(408, 1020) = GCF(408, 1020-408) = GCF(408, 612) = GCF(408, 612-408) = GCF(408, 204) = GCF(204, 408-204) = GCF(204, 204) The two numbers are the same so STOP! The answer is 204. It is not a particularly fast method, but it is simple: all you need to now is subtraction.


What is the GCF of 204?

You need at least two numbers to find a GCF. If that's 200 and 205, the GCF is 5.


What is the greatest common factor of 120and144 and 204?

The GCF is 12.


What is the greatest common factor of 204 and 825?

The GCF is 3.