67/134 Simplified

Learn how to find what is 67/134 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 67/134 in simplest form.

To simplify 67/134 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 67/134 can be reduced in simplest form. In this case, the greatest common divisor of 67 and 134 is 67. Dividing both the numerator and denominator by GCD, the fraction 67/134 becomes 1/2 which is the simplest form.

Simplify 67/134 as a Fraction
Using Factorization:
67/134 = (?)
67/134 = (67)/(2 x 67)      //write 67/134 in terms of factors
= 1/2
67/134 = 1/2
67/134 simplified is 1/2

Using GCD:
67/134 = (?)
GCD of 67 and 134 is 67.
67/134 = (67/67)/(134/67)
= 1/2
67/134 = 1/2
67/134 simplified is 1/2 in fraction form
where,
67/134 is the given fraction to be simplified,
1/2 is the lowest term of 67/134.

Notes: Simplify 67/134 in lowest terms
1. 67/134 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 67 and 134 is 67 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 67/134 can be represented in its reduced form.
2. On the other hand, you can also reduce 67/134 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 67/134 becomes (67)/(2 x 67). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 67/134 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 67/134

what to be found:
67/134 = ?
Simplify 67/134 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 67/134.
Prime factors of 67 = 67

step 3 Find the prime factors of the denominator of given fraction 67/134.
Prime factors of 134 = 2 x 67

step 4 Rewrite the fraction 67/134 in the form of prime factors as like the below:
67/134= (67) / (2 x 67)

step 5 Check and reduce the factors of 67 and 134 if any factors in the numerator and denominator cancel each other:
= (67) / (2 x 67)
= (1)/(2 )
67/134 = 1/2

Hence,
67/134 in simplest form is 1/2.

Representing fraction 67/134 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 67/134 in its lowest terms.