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# How did simplifying the fraction relate to finding the greatest common factor?

Updated: 8/18/2019 Wiki User

10y ago

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 Wiki User

10y ago   Earn +20 pts
Q: How did simplifying the fraction relate to finding the greatest common factor?
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Still have questions?  Related questions

### What is the circumstances that the Greatest Common Factor be equal to the numerator of a fraction before simplifying?

When the numerator is a factor of the denominator.

### Under what circumstances would the greatest common factor be equal to the numerator of a fraction before simplifying?

If the numerator is a factor of the denominator.

### How can you use the greatest common factor?

When simplifying fractions.

### What is simplifying a fraction to simplest form?

Find the GCF of the numerator and the denominator and divide them both by it. If the GCF is 1, the fraction is in its simplest form.

### What is it called when you divide the numerator and denominator by a common factor?

simplifying the fraction

### What you can get to make fraction simplifying?

You can use common multiples of the numerator and denominator.

### What is the trick to finding the greatest common factors?

Finding the GCF will help you when you are trying to reduce fractions.

### How can you put a fraction into its simplest form with greatest common multiple?

The greatest common multiple is an infinite number and will be of no use in simplifying fractions. What you want is the greatest common factor, known as the GCF. Take a fraction like 16/24. The GCF of 16 and 24 is 8. Take 8 out of both of those numbers and get 2/3, the simplest form.

### 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.

### Do you divide when you simplify?

It depends on what you're simplifying. If you are simplifying a fraction, then yes. You would be dividing both numbers by their GCF. Or greatest common factor. For example if you had 24/48. You would divide both by 24, the GCF. Leaving you with 1/2. (:

### What is the correct procedure for finding the simplest form of a fraction?

Divide both the numeration and the denominator by their greatest common factor.