360/136 Simplified

Learn how to find what is 360/136 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 360/136 in simplest form.

To simplify 360/136 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 360/136 can be reduced in simplest form. In this case, the greatest common divisor of 360 and 136 is 8. Dividing both the numerator and denominator by GCD, the fraction 360/136 becomes 45/17 which is the simplest form.

Simplify 360/136 as a Fraction
Using Factorization:
360/136 = (?)
360/136 = (2 x 2 x 2 x 3 x 3 x 5)/(2 x 2 x 2 x 17)      //write 360/136 in terms of factors
= 45/17
360/136 = 45/17
360/136 simplified is 45/17

Using GCD:
360/136 = (?)
GCD of 360 and 136 is 8.
360/136 = (360/8)/(136/8)
= 45/17
360/136 = 45/17
360/136 simplified is 45/17 in fraction form
where,
360/136 is the given fraction to be simplified,
45/17 is the lowest term of 360/136.

Notes: Simplify 360/136 in lowest terms
1. 360/136 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 360 and 136 is 8 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 360/136 can be represented in its reduced form.
2. On the other hand, you can also reduce 360/136 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 360/136 becomes (2 x 2 x 2 x 3 x 3 x 5)/(2 x 2 x 2 x 17). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 360/136 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 360/136

what to be found:
360/136 = ?
Simplify 360/136 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 360/136.
Prime factors of 360 = 2 x 2 x 2 x 3 x 3 x 5

step 3 Find the prime factors of the denominator of given fraction 360/136.
Prime factors of 136 = 2 x 2 x 2 x 17

step 4 Rewrite the fraction 360/136 in the form of prime factors as like the below:
360/136= (2 x 2 x 2 x 3 x 3 x 5) / (2 x 2 x 2 x 17)

step 5 Check and reduce the factors of 360 and 136 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 3 x 3 x 5) / (2 x 2 x 2 x 17)
= ( 3 x 3 x 5)/( 17)
360/136 = 45/17

Hence,
360/136 in simplest form is 45/17.

Representing fraction 360/136 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 360/136 in its lowest terms.