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Actually, it is often easier to divide by factors other than the GCF as they will be smaller numbers.

All that dividing by the GCF does is simplify the fraction in one step as opposed to many steps.

I often find myself simplifying fractions by dividing by obvious smaller factors which means that when I do have to find a GCF (often to prove the fraction is in simplest form) it will be with smaller numbers as well (which is easier).

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Q: Why is it easier to divide the numerator and denominator by the GCF rather than any other factor?

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when you divide the numerator and denominator by the same factor

Find the Greatest Common Factor of the numerator and denominator, then divide the numerator by the GCF, and that is the new numerator. Divide the denominator by the GCF, and that is the new denominator.

If you divide by the GCF, you will only have to do it once to produce the simplest form.

how to find simplest form is: 1. Find the GCF of the numerator and denominator 2. Divide the numerator and denominator by the GCF

simplifying the fraction

simplifying

If the numerator and denominator of a fraction have a common factor (except for '1'), divide both numerator and denominator by their common factor. The fraction is in the simplest form when the numerator and denominator have no common factors.

You look for common factors in the numerator and the denominator, then divide both the numerator and the denominator by that common factor.

Divide the numerator and the denominator by their highest common factor.

Divide the numerator and denominator of the ratio by their highest common factor.

Divide the numerator and denominator by their highest common factor

It is simplifying the ratio.

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