117/339 Simplified

Learn how to find what is 117/339 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 117/339 in simplest form.

To simplify 117/339 in its lowest terms, you must be familiar with either how to find the greatest common divisor or prime factors. Both of these methods are used to recognize if 117/339 can be reduced in simplest form. In this case, the greatest common divisor of 117 and 339 is 3. Dividing both the numerator and denominator by GCD, the fraction 117/339 becomes 39/113 which is the simplest form.

Simplify 117/339 as a Fraction
Using Factorization:
117/339 = (?)
117/339 = (3 x 3 x 13)/(3 x 113)      //write 117/339 in terms of factors
= 39/113
117/339 = 39/113
117/339 simplified is 39/113

Using GCD:
117/339 = (?)
GCD of 117 and 339 is 3.
117/339 = (117/3)/(339/3)
= 39/113
117/339 = 39/113
117/339 simplified is 39/113 in fraction form
where,
117/339 is the given fraction to be simplified,
39/113 is the lowest term of 117/339.

Notes: Simplify 117/339 in lowest terms
1. 117/339 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 117 and 339 is 3 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 117/339 can be represented in its reduced form.
2. On the other hand, you can also reduce 117/339 in simplest form by using the factorization method. In this case, the numerator and denominator of fraction should be written in the form of prime factors, so the fraction 117/339 becomes (3 x 3 x 13)/(3 x 113). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 117/339 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 117/339

what to be found:
117/339 = ?
Simplify 117/339 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 117/339.
Prime factors of 117 = 3 x 3 x 13

step 3 Find the prime factors of the denominator of given fraction 117/339.
Prime factors of 339 = 3 x 113

step 4 Rewrite the fraction 117/339 in the form of prime factors as like the below:
117/339= (3 x 3 x 13) / (3 x 113)

step 5 Check and reduce the factors of 117 and 339 if any factors in the numerator and denominator cancel each other:
= (3 x 3 x 13) / (3 x 113)
= ( 3 x 13)/( 113)
117/339 = 39/113

Hence,
117/339 in simplest form is 39/113.

Representing fraction 117/339 in lowest terms is a better way than its original form to easily recognize the fraction or use in mathematical operations. Simplify fraction involves finding the greatest common factor or factorization. Recognizing the GCD or prime factors of numerator and denominator of a fraction is key when you start reducing fractions like 117/339 in its lowest terms.