398/488 Simplified

Learn how to find what is 398/488 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 398/488 in simplest form.

To simplify 398/488 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 398/488 can be reduced in simplest form. In this case, the greatest common divisor of 398 and 488 is 2. Dividing both the numerator and denominator by GCD, the fraction 398/488 becomes 199/244 which is the simplest form.

Simplify 398/488 as a Fraction
Using Factorization:
398/488 = (?)
398/488 = (2 x 199)/(2 x 2 x 2 x 61)      //write 398/488 in terms of factors
= 199/244
398/488 = 199/244
398/488 simplified is 199/244

Using GCD:
398/488 = (?)
GCD of 398 and 488 is 2.
398/488 = (398/2)/(488/2)
= 199/244
398/488 = 199/244
398/488 simplified is 199/244 in fraction form
where,
398/488 is the given fraction to be simplified,
199/244 is the lowest term of 398/488.

Notes: Simplify 398/488 in lowest terms
1. 398/488 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 398 and 488 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 398/488 can be represented in its reduced form.
2. On the other hand, you can also reduce 398/488 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 398/488 becomes (2 x 199)/(2 x 2 x 2 x 61). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 398/488 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 398/488

what to be found:
398/488 = ?
Simplify 398/488 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 398/488.
Prime factors of 398 = 2 x 199

step 3 Find the prime factors of the denominator of given fraction 398/488.
Prime factors of 488 = 2 x 2 x 2 x 61

step 4 Rewrite the fraction 398/488 in the form of prime factors as like the below:
398/488= (2 x 199) / (2 x 2 x 2 x 61)

step 5 Check and reduce the factors of 398 and 488 if any factors in the numerator and denominator cancel each other:
= (2 x 199) / (2 x 2 x 2 x 61)
= ( 199)/( 2 x 2 x 61)
398/488 = 199/244

Hence,
398/488 in simplest form is 199/244.

Representing fraction 398/488 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 398/488 in its lowest terms.