816/972 Simplified

Learn how to find what is 816/972 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 816/972 in simplest form.

To simplify 816/972 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 816/972 can be reduced in simplest form. In this case, the greatest common divisor of 816 and 972 is 12. Dividing both the numerator and denominator by GCD, the fraction 816/972 becomes 68/81 which is the simplest form.

Simplify 816/972 as a Fraction
Using Factorization:
816/972 = (?)
816/972 = (2 x 2 x 2 x 2 x 3 x 17)/(2 x 2 x 3 x 3 x 3 x 3 x 3)      //write 816/972 in terms of factors
= 68/81
816/972 = 68/81
816/972 simplified is 68/81

Using GCD:
816/972 = (?)
GCD of 816 and 972 is 12.
816/972 = (816/12)/(972/12)
= 68/81
816/972 = 68/81
816/972 simplified is 68/81 in fraction form
where,
816/972 is the given fraction to be simplified,
68/81 is the lowest term of 816/972.

Notes: Simplify 816/972 in lowest terms
1. 816/972 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 816 and 972 is 12 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 816/972 can be represented in its reduced form.
2. On the other hand, you can also reduce 816/972 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 816/972 becomes (2 x 2 x 2 x 2 x 3 x 17)/(2 x 2 x 3 x 3 x 3 x 3 x 3). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 816/972 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 816/972

what to be found:
816/972 = ?
Simplify 816/972 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 816/972.
Prime factors of 816 = 2 x 2 x 2 x 2 x 3 x 17

step 3 Find the prime factors of the denominator of given fraction 816/972.
Prime factors of 972 = 2 x 2 x 3 x 3 x 3 x 3 x 3

step 4 Rewrite the fraction 816/972 in the form of prime factors as like the below:
816/972= (2 x 2 x 2 x 2 x 3 x 17) / (2 x 2 x 3 x 3 x 3 x 3 x 3)

step 5 Check and reduce the factors of 816 and 972 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 2 x 3 x 17) / (2 x 2 x 3 x 3 x 3 x 3 x 3)
= ( 2 x 2 x 17)/( 3 x 3 x 3 x 3)
816/972 = 68/81

Hence,
816/972 in simplest form is 68/81.

Representing fraction 816/972 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 816/972 in its lowest terms.