685/959 Simplified

Learn how to find what is 685/959 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 685/959 in simplest form.

To simplify 685/959 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 685/959 can be reduced in simplest form. In this case, the greatest common divisor of 685 and 959 is 137. Dividing both the numerator and denominator by GCD, the fraction 685/959 becomes 5/7 which is the simplest form.

Simplify 685/959 as a Fraction
Using Factorization:
685/959 = (?)
685/959 = (5 x 137)/(7 x 137)      //write 685/959 in terms of factors
= 5/7
685/959 = 5/7
685/959 simplified is 5/7

Using GCD:
685/959 = (?)
GCD of 685 and 959 is 137.
685/959 = (685/137)/(959/137)
= 5/7
685/959 = 5/7
685/959 simplified is 5/7 in fraction form
where,
685/959 is the given fraction to be simplified,
5/7 is the lowest term of 685/959.

Notes: Simplify 685/959 in lowest terms
1. 685/959 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 685 and 959 is 137 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 685/959 can be represented in its reduced form.
2. On the other hand, you can also reduce 685/959 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 685/959 becomes (5 x 137)/(7 x 137). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 685/959 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 685/959

what to be found:
685/959 = ?
Simplify 685/959 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 685/959.
Prime factors of 685 = 5 x 137

step 3 Find the prime factors of the denominator of given fraction 685/959.
Prime factors of 959 = 7 x 137

step 4 Rewrite the fraction 685/959 in the form of prime factors as like the below:
685/959= (5 x 137) / (7 x 137)

step 5 Check and reduce the factors of 685 and 959 if any factors in the numerator and denominator cancel each other:
= (5 x 137) / (7 x 137)
= (5 )/(7 )
685/959 = 5/7

Hence,
685/959 in simplest form is 5/7.

Representing fraction 685/959 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 685/959 in its lowest terms.