318/138 Simplified

Learn how to find what is 318/138 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 318/138 in simplest form.

To simplify 318/138 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 318/138 can be reduced in simplest form. In this case, the greatest common divisor of 318 and 138 is 6. Dividing both the numerator and denominator by GCD, the fraction 318/138 becomes 53/23 which is the simplest form.

Simplify 318/138 as a Fraction
Using Factorization:
318/138 = (?)
318/138 = (2 x 3 x 53)/(2 x 3 x 23)      //write 318/138 in terms of factors
= 53/23
318/138 = 53/23
318/138 simplified is 53/23

Using GCD:
318/138 = (?)
GCD of 318 and 138 is 6.
318/138 = (318/6)/(138/6)
= 53/23
318/138 = 53/23
318/138 simplified is 53/23 in fraction form
where,
318/138 is the given fraction to be simplified,
53/23 is the lowest term of 318/138.

Notes: Simplify 318/138 in lowest terms
1. 318/138 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 318 and 138 is 6 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 318/138 can be represented in its reduced form.
2. On the other hand, you can also reduce 318/138 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 318/138 becomes (2 x 3 x 53)/(2 x 3 x 23). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 318/138 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 318/138

what to be found:
318/138 = ?
Simplify 318/138 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 318/138.
Prime factors of 318 = 2 x 3 x 53

step 3 Find the prime factors of the denominator of given fraction 318/138.
Prime factors of 138 = 2 x 3 x 23

step 4 Rewrite the fraction 318/138 in the form of prime factors as like the below:
318/138= (2 x 3 x 53) / (2 x 3 x 23)

step 5 Check and reduce the factors of 318 and 138 if any factors in the numerator and denominator cancel each other:
= (2 x 3 x 53) / (2 x 3 x 23)
= ( 53)/( 23)
318/138 = 53/23

Hence,
318/138 in simplest form is 53/23.

Representing fraction 318/138 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 318/138 in its lowest terms.