687/921 Simplified

Learn how to find what is 687/921 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 687/921 in simplest form.

To reduce 687/921 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 687/921 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 687 and 921 is 3. Dividing both the numerator and denominator by GCF, the fraction 687/921 becomes 229/307 which is the simplest form.

687/921 Simplified as a Fraction
Using Factorization:
687/921 = (?)
687/921 = (3 x 229)/(3 x 307)      write 687/921 in terms of factors
= 229/307
687/921 = 229/307
687/921 simplified is 229/307

Using GCF
687/921 = (?)
GCF of 687 and 921 is 3.
687/921 = (687/3)/(921/3)
= 229/307
687/921 = 229/307
687/921 simplified is 229/307 in fraction form
where,
687/921 is the given fraction to be simplified,
229/307 is the lowest term of 687/921.

Notes: 687/921 simplified in lowest terms
1. 687/921 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 687 and 921 is 3 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 687/921 can be represented in its reduced form.
2. On the other hand, you can also reduce 687/921 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 687/921 becomes (3 x 229)/(3 x 307). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 687/921 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 687/921

what to be found:
687/921 = ?
Reduce 687/921 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 687/921.
Prime factors of 687 = 3 x 229

step 3 Find the prime factors of the denominator of given fraction 687/921.
Prime factors of 921 = 3 x 307

step 4 Rewrite the fraction 687/921 in the form of prime factors as like the below:
687/921= (3 x 229) / (3 x 307)

step 5 Check and reduce the factors of 687 and 921 if any factors in the numerator and denominator cancel each other:
= (3 x 229) / (3 x 307)
= ( 229)/( 307)
687/921 = 229/307
Hence,
687/921 in simplest form is 229/307.

687/921 simplified is 229/307, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 687/921 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 687/921 in its lowest terms.