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To simplify a fraction, divide the numerator and the denominator by their GCF.

Example: 30/42

The GCF of 30 and 42 is 6.

6 into 30 is 5

6 into 42 is 7

30/42 = 5/7

If the GCF is 1, the fraction is already in its simplest form.

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Q: How is the GCF related to simplifying fractions?
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Related questions

What is the GCF used for?

Simplifying fractions


Why is the GCF important?

Finding the GCF will help you to simplify fractions.


What are some uses of HCF?

Use the GCF when you are simplifying fractions.


When do you need the greatest common factor?

The GCF helps in simplifying fractions.


Why do need greatest common factor?

The GCF helps in simplifying fractions.


When can you use common multiples and factors?

Use the LCM when you are adding and subtracting unlike fractions. Use the GCF when you are simplifying fractions.


What 2 or more numbers for a gcf represent?

The GCF is the largest whole number that is a factor for both of the numbers of interest. GCF is useful when simplifying fractions.


How can fractions be simplified by finding the GCF and using divisibility rules?

Simplifying fractions and finding the GCF is easy. All you have to do is put the fraction into simplest form and then put in a whole number.


What problems can be solved using gcf and LCM?

Finding the LCM will make adding and subtracting fractions easier.


How are equivalent fractions related to simplifying fractions?

When a fraction is simplified, it is made into an equivalent fraction with no common divisor between the numerator and denominator.


How is the GCF related to fractions?

To simplify fractions, you need to divide the numerator and denominator by their GCF. Otherwise you'll end up with fractions with unnecessarily large numbers.


What types of problems can be solved using the greatest common factor and what types of problems can be solved using the least common multiple.?

Finding the GCF will help in simplifying fractions. Finding the LCM will help in adding and subtracting fractions.