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What is the greatest common factor of 175 and 245?

1 Answer

Apr 14, 2016

$35$ $35$

Explanation:

To find the GCF of two numbers you can proceed as follows:

Divide the larger number by the smaller to give a quotient and remainder.
If the remainder is zero then the smaller number is the GCF.
Otherwise repeat with the smaller number and the remainder.

In our example:

$\frac{245}{175} = 1$ $245/175 = 1$ with remainder $70$ $70$

$\frac{175}{70} = 2$ $175/70 = 2$ with remainder $35$ $35$

$\frac{70}{35} = 2$ $70/35 = 2$ with remainder $0$ $0$

So the GCF is $35$ $35$

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