378/489 Simplified

Learn how to find what is 378/489 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 378/489 in simplest form.

To simplify 378/489 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 378/489 can be reduced in simplest form. In this case, the greatest common divisor of 378 and 489 is 3. Dividing both the numerator and denominator by GCD, the fraction 378/489 becomes 126/163 which is the simplest form.

Simplify 378/489 as a Fraction
Using Factorization:
378/489 = (?)
378/489 = (2 x 3 x 3 x 3 x 7)/(3 x 163)      //write 378/489 in terms of factors
= 126/163
378/489 = 126/163
378/489 simplified is 126/163

Using GCD:
378/489 = (?)
GCD of 378 and 489 is 3.
378/489 = (378/3)/(489/3)
= 126/163
378/489 = 126/163
378/489 simplified is 126/163 in fraction form
where,
378/489 is the given fraction to be simplified,
126/163 is the lowest term of 378/489.

Notes: Simplify 378/489 in lowest terms
1. 378/489 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 378 and 489 is 3 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 378/489 can be represented in its reduced form.
2. On the other hand, you can also reduce 378/489 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 378/489 becomes (2 x 3 x 3 x 3 x 7)/(3 x 163). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 378/489 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 378/489

what to be found:
378/489 = ?
Simplify 378/489 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 378/489.
Prime factors of 378 = 2 x 3 x 3 x 3 x 7

step 3 Find the prime factors of the denominator of given fraction 378/489.
Prime factors of 489 = 3 x 163

step 4 Rewrite the fraction 378/489 in the form of prime factors as like the below:
378/489= (2 x 3 x 3 x 3 x 7) / (3 x 163)

step 5 Check and reduce the factors of 378 and 489 if any factors in the numerator and denominator cancel each other:
= (2 x 3 x 3 x 3 x 7) / (3 x 163)
= (2 x 3 x 3 x 7)/( 163)
378/489 = 126/163

Hence,
378/489 in simplest form is 126/163.

Representing fraction 378/489 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 378/489 in its lowest terms.