687/948 Simplified

Learn how to find what is 687/948 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 687/948 in simplest form.

To simplify 687/948 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 687/948 can be reduced in simplest form. In this case, the greatest common divisor of 687 and 948 is 3. Dividing both the numerator and denominator by GCD, the fraction 687/948 becomes 229/316 which is the simplest form.

Simplify 687/948 as a Fraction
Using Factorization:
687/948 = (?)
687/948 = (3 x 229)/(2 x 2 x 3 x 79)      //write 687/948 in terms of factors
= 229/316
687/948 = 229/316
687/948 simplified is 229/316

Using GCD:
687/948 = (?)
GCD of 687 and 948 is 3.
687/948 = (687/3)/(948/3)
= 229/316
687/948 = 229/316
687/948 simplified is 229/316 in fraction form
where,
687/948 is the given fraction to be simplified,
229/316 is the lowest term of 687/948.

Notes: Simplify 687/948 in lowest terms
1. 687/948 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 687 and 948 is 3 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 687/948 can be represented in its reduced form.
2. On the other hand, you can also reduce 687/948 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 687/948 becomes (3 x 229)/(2 x 2 x 3 x 79). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 687/948 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 687/948

what to be found:
687/948 = ?
Simplify 687/948 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 687/948.
Prime factors of 687 = 3 x 229

step 3 Find the prime factors of the denominator of given fraction 687/948.
Prime factors of 948 = 2 x 2 x 3 x 79

step 4 Rewrite the fraction 687/948 in the form of prime factors as like the below:
687/948= (3 x 229) / (2 x 2 x 3 x 79)

step 5 Check and reduce the factors of 687 and 948 if any factors in the numerator and denominator cancel each other:
= (3 x 229) / (2 x 2 x 3 x 79)
= ( 229)/(2 x 2 x 79)
687/948 = 229/316

Hence,
687/948 in simplest form is 229/316.

Representing fraction 687/948 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 687/948 in its lowest terms.