688/924 Simplified

Learn how to find what is 688/924 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 688/924 in simplest form.

To reduce 688/924 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 688/924 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 688 and 924 is 4. Dividing both the numerator and denominator by GCF, the fraction 688/924 becomes 172/231 which is the simplest form.

688/924 Simplified as a Fraction
Using Factorization:
688/924 = (?)
688/924 = (2 x 2 x 2 x 2 x 43)/(2 x 2 x 3 x 7 x 11)      write 688/924 in terms of factors
= 172/231
688/924 = 172/231
688/924 simplified is 172/231

Using GCF
688/924 = (?)
GCF of 688 and 924 is 4.
688/924 = (688/4)/(924/4)
= 172/231
688/924 = 172/231
688/924 simplified is 172/231 in fraction form
where,
688/924 is the given fraction to be simplified,
172/231 is the lowest term of 688/924.

Notes: 688/924 simplified in lowest terms
1. 688/924 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 688 and 924 is 4 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 688/924 can be represented in its reduced form.
2. On the other hand, you can also reduce 688/924 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 688/924 becomes (2 x 2 x 2 x 2 x 43)/(2 x 2 x 3 x 7 x 11). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 688/924 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 688/924

what to be found:
688/924 = ?
Reduce 688/924 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 688/924.
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 688/924.
Prime factors of 924 = 2 x 2 x 3 x 7 x 11

step 4 Rewrite the fraction 688/924 in the form of prime factors as like the below:
688/924= (2 x 2 x 2 x 2 x 43) / (2 x 2 x 3 x 7 x 11)

step 5 Check and reduce the factors of 688 and 924 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 7 x 11)
= ( 2 x 2 x 43)/( 3 x 7 x 11)
688/924 = 172/231
Hence,
688/924 in simplest form is 172/231.

688/924 simplified is 172/231, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 688/924 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 688/924 in its lowest terms.