676/868 Simplified

Learn how to find what is 676/868 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 676/868 in simplest form.

To reduce 676/868 in its lowest terms, you must be familiar with either how to find the greatest common factor or prime factors. Both of these methods are used to recognize if 676/868 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 676 and 868 is 4. Dividing both the numerator and denominator by GCF, the fraction 676/868 becomes 169/217 which is the simplest form.

676/868 Simplified as a Fraction
Using Factorization:
676/868 = (?)
676/868 = (2 x 2 x 13 x 13)/(2 x 2 x 7 x 31)      write 676/868 in terms of factors
= 169/217
676/868 = 169/217
676/868 simplified is 169/217

Using GCF
676/868 = (?)
GCF of 676 and 868 is 4.
676/868 = (676/4)/(868/4)
= 169/217
676/868 = 169/217
676/868 simplified is 169/217 in fraction form
where,
676/868 is the given fraction to be simplified,
169/217 is the lowest term of 676/868.

Notes: 676/868 simplified in lowest terms
1. 676/868 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 676 and 868 is 4 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 676/868 can be represented in its reduced form.
2. On the other hand, you can also reduce 676/868 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 676/868 becomes (2 x 2 x 13 x 13)/(2 x 2 x 7 x 31). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 676/868 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 676/868

what to be found:
676/868 = ?
Reduce 676/868 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 676/868.
Prime factors of 676 = 2 x 2 x 13 x 13

step 3 Find the prime factors of the denominator of given fraction 676/868.
Prime factors of 868 = 2 x 2 x 7 x 31

step 4 Rewrite the fraction 676/868 in the form of prime factors as like the below:
676/868= (2 x 2 x 13 x 13) / (2 x 2 x 7 x 31)

step 5 Check and reduce the factors of 676 and 868 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 13 x 13) / (2 x 2 x 7 x 31)
= ( 13 x 13)/( 7 x 31)
676/868 = 169/217
Hence,
676/868 in simplest form is 169/217.

676/868 simplified is 169/217, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 676/868 to its simplest form involves the greatest common factor or factorization. Recognizing the GCF or prime factors of numerator and denominator of a fraction is key when you start reducing fractions like 676/868 in its lowest terms.