Simplifying Fractions Using the GCF
Write the prime factorizations of the numerators and denominators of the given fractions in expanded form. Then find their Greatest Common Factor, and use the GCF to simplify the fraction completely.

The example in the first row will guide you on how to enter your answers.

Note: If the two numbers do not have any common prime factors, their GCF is 1 and the fraction is already completely simplified. If your answer has a denominaotr of 1, write it as a whole number.

FractionPrime Factorization of Numerator
(in increasing order)
Prime Factorization of Denominator
(in increasing order)
Greatest Common FactorCompletely Simplified Fraction
Example:

4212\displaystyle \frac{{42}}{{12}}
237\displaystyle {2}\cdot{3}\cdot{7} 223\displaystyle {2}\cdot{2}\cdot{3} Enter either:
23\displaystyle {2}\cdot{3} or 6\displaystyle {6}
72\displaystyle \frac{{7}}{{2}}
284\displaystyle \frac{{28}}{{4}}        
4816\displaystyle \frac{{48}}{{16}}        
6020\displaystyle \frac{{60}}{{20}}        
7226\displaystyle \frac{{72}}{{26}}