144/945 Simplified

Learn how to find what is 144/945 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 144/945 in simplest form.

To simplify 144/945 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 144/945 can be reduced in simplest form. In this case, the greatest common divisor of 144 and 945 is 9. Dividing both the numerator and denominator by GCD, the fraction 144/945 becomes 16/105 which is the simplest form.

Simplify 144/945 as a Fraction
Using Factorization:
144/945 = (?)
144/945 = (2 x 2 x 2 x 2 x 3 x 3)/(3 x 3 x 3 x 5 x 7)      //write 144/945 in terms of factors
= 16/105
144/945 = 16/105
144/945 simplified is 16/105

Using GCD:
144/945 = (?)
GCD of 144 and 945 is 9.
144/945 = (144/9)/(945/9)
= 16/105
144/945 = 16/105
144/945 simplified is 16/105 in fraction form
where,
144/945 is the given fraction to be simplified,
16/105 is the lowest term of 144/945.

Notes: Simplify 144/945 in lowest terms
1. 144/945 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 144 and 945 is 9 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 144/945 can be represented in its reduced form.
2. On the other hand, you can also reduce 144/945 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 144/945 becomes (2 x 2 x 2 x 2 x 3 x 3)/(3 x 3 x 3 x 5 x 7). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 144/945 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 144/945

what to be found:
144/945 = ?
Simplify 144/945 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 144/945.
Prime factors of 144 = 2 x 2 x 2 x 2 x 3 x 3

step 3 Find the prime factors of the denominator of given fraction 144/945.
Prime factors of 945 = 3 x 3 x 3 x 5 x 7

step 4 Rewrite the fraction 144/945 in the form of prime factors as like the below:
144/945= (2 x 2 x 2 x 2 x 3 x 3) / (3 x 3 x 3 x 5 x 7)

step 5 Check and reduce the factors of 144 and 945 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 2 x 3 x 3) / (3 x 3 x 3 x 5 x 7)
= (2 x 2 x 2 x 2 )/( 3 x 5 x 7)
144/945 = 16/105

Hence,
144/945 in simplest form is 16/105.

Representing fraction 144/945 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 144/945 in its lowest terms.