363/468 Simplified

Learn how to find what is 363/468 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 363/468 in simplest form.

To simplify 363/468 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 363/468 can be reduced in simplest form. In this case, the greatest common divisor of 363 and 468 is 3. Dividing both the numerator and denominator by GCD, the fraction 363/468 becomes 121/156 which is the simplest form.

Simplify 363/468 as a Fraction
Using Factorization:
363/468 = (?)
363/468 = (3 x 11 x 11)/(2 x 2 x 3 x 3 x 13)      //write 363/468 in terms of factors
= 121/156
363/468 = 121/156
363/468 simplified is 121/156

Using GCD:
363/468 = (?)
GCD of 363 and 468 is 3.
363/468 = (363/3)/(468/3)
= 121/156
363/468 = 121/156
363/468 simplified is 121/156 in fraction form
where,
363/468 is the given fraction to be simplified,
121/156 is the lowest term of 363/468.

Notes: Simplify 363/468 in lowest terms
1. 363/468 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 363 and 468 is 3 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 363/468 can be represented in its reduced form.
2. On the other hand, you can also reduce 363/468 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 363/468 becomes (3 x 11 x 11)/(2 x 2 x 3 x 3 x 13). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 363/468 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 363/468

what to be found:
363/468 = ?
Simplify 363/468 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 363/468.
Prime factors of 363 = 3 x 11 x 11

step 3 Find the prime factors of the denominator of given fraction 363/468.
Prime factors of 468 = 2 x 2 x 3 x 3 x 13

step 4 Rewrite the fraction 363/468 in the form of prime factors as like the below:
363/468= (3 x 11 x 11) / (2 x 2 x 3 x 3 x 13)

step 5 Check and reduce the factors of 363 and 468 if any factors in the numerator and denominator cancel each other:
= (3 x 11 x 11) / (2 x 2 x 3 x 3 x 13)
= ( 11 x 11)/(2 x 2 x 3 x 13)
363/468 = 121/156

Hence,
363/468 in simplest form is 121/156.

Representing fraction 363/468 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 363/468 in its lowest terms.