688/989 Simplified

Learn how to find what is 688/989 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 688/989 in simplest form.

To simplify 688/989 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 688/989 can be reduced in simplest form. In this case, the greatest common divisor of 688 and 989 is 43. Dividing both the numerator and denominator by GCD, the fraction 688/989 becomes 16/23 which is the simplest form.

Simplify 688/989 as a Fraction
Using Factorization:
688/989 = (?)
688/989 = (2 x 2 x 2 x 2 x 43)/(23 x 43)      //write 688/989 in terms of factors
= 16/23
688/989 = 16/23
688/989 simplified is 16/23

Using GCD:
688/989 = (?)
GCD of 688 and 989 is 43.
688/989 = (688/43)/(989/43)
= 16/23
688/989 = 16/23
688/989 simplified is 16/23 in fraction form
where,
688/989 is the given fraction to be simplified,
16/23 is the lowest term of 688/989.

Notes: Simplify 688/989 in lowest terms
1. 688/989 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 688 and 989 is 43 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 688/989 can be represented in its reduced form.
2. On the other hand, you can also reduce 688/989 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 688/989 becomes (2 x 2 x 2 x 2 x 43)/(23 x 43). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 688/989 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 688/989

what to be found:
688/989 = ?
Simplify 688/989 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 688/989.
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 688/989.
Prime factors of 989 = 23 x 43

step 4 Rewrite the fraction 688/989 in the form of prime factors as like the below:
688/989= (2 x 2 x 2 x 2 x 43) / (23 x 43)

step 5 Check and reduce the factors of 688 and 989 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 2 x 43) / (23 x 43)
= (2 x 2 x 2 x 2 )/(23 )
688/989 = 16/23

Hence,
688/989 in simplest form is 16/23.

Representing fraction 688/989 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 688/989 in its lowest terms.