688/876 Simplified

Learn how to find what is 688/876 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 688/876 in simplest form.

To reduce 688/876 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 688/876 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 688 and 876 is 4. Dividing both the numerator and denominator by GCF, the fraction 688/876 becomes 172/219 which is the simplest form.

688/876 Simplified as a Fraction
Using Factorization:
688/876 = (?)
688/876 = (2 x 2 x 2 x 2 x 43)/(2 x 2 x 3 x 73)      write 688/876 in terms of factors
= 172/219
688/876 = 172/219
688/876 simplified is 172/219

Using GCF
688/876 = (?)
GCF of 688 and 876 is 4.
688/876 = (688/4)/(876/4)
= 172/219
688/876 = 172/219
688/876 simplified is 172/219 in fraction form
where,
688/876 is the given fraction to be simplified,
172/219 is the lowest term of 688/876.

Notes: 688/876 simplified in lowest terms
1. 688/876 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 688 and 876 is 4 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 688/876 can be represented in its reduced form.
2. On the other hand, you can also reduce 688/876 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 688/876 becomes (2 x 2 x 2 x 2 x 43)/(2 x 2 x 3 x 73). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 688/876 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 688/876

what to be found:
688/876 = ?
Reduce 688/876 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 688/876.
Prime factors of 688 = 2 x 2 x 2 x 2 x 43

step 3 Find the prime factors of the denominator of given fraction 688/876.
Prime factors of 876 = 2 x 2 x 3 x 73

step 4 Rewrite the fraction 688/876 in the form of prime factors as like the below:
688/876= (2 x 2 x 2 x 2 x 43) / (2 x 2 x 3 x 73)

step 5 Check and reduce the factors of 688 and 876 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 2 x 43) / (2 x 2 x 3 x 73)
= ( 2 x 2 x 43)/( 3 x 73)
688/876 = 172/219
Hence,
688/876 in simplest form is 172/219.

688/876 simplified is 172/219, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 688/876 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 688/876 in its lowest terms.