118/720 Simplified

Learn how to find what is 118/720 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 118/720 in simplest form.

To simplify 118/720 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 118/720 can be reduced in simplest form. In this case, the greatest common divisor of 118 and 720 is 2. Dividing both the numerator and denominator by GCD, the fraction 118/720 becomes 59/360 which is the simplest form.

Simplify 118/720 as a Fraction
Using Factorization:
118/720 = (?)
118/720 = (2 x 59)/(2 x 2 x 2 x 2 x 3 x 3 x 5)      //write 118/720 in terms of factors
= 59/360
118/720 = 59/360
118/720 simplified is 59/360

Using GCD:
118/720 = (?)
GCD of 118 and 720 is 2.
118/720 = (118/2)/(720/2)
= 59/360
118/720 = 59/360
118/720 simplified is 59/360 in fraction form
where,
118/720 is the given fraction to be simplified,
59/360 is the lowest term of 118/720.

Notes: Simplify 118/720 in lowest terms
1. 118/720 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 118 and 720 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 118/720 can be represented in its reduced form.
2. On the other hand, you can also reduce 118/720 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 118/720 becomes (2 x 59)/(2 x 2 x 2 x 2 x 3 x 3 x 5). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 118/720 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 118/720

what to be found:
118/720 = ?
Simplify 118/720 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 118/720.
Prime factors of 118 = 2 x 59

step 3 Find the prime factors of the denominator of given fraction 118/720.
Prime factors of 720 = 2 x 2 x 2 x 2 x 3 x 3 x 5

step 4 Rewrite the fraction 118/720 in the form of prime factors as like the below:
118/720= (2 x 59) / (2 x 2 x 2 x 2 x 3 x 3 x 5)

step 5 Check and reduce the factors of 118 and 720 if any factors in the numerator and denominator cancel each other:
= (2 x 59) / (2 x 2 x 2 x 2 x 3 x 3 x 5)
= ( 59)/( 2 x 2 x 2 x 3 x 3 x 5)
118/720 = 59/360

Hence,
118/720 in simplest form is 59/360.

Representing fraction 118/720 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 118/720 in its lowest terms.