600/675 Simplified

Learn how to find what is 600/675 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 600/675 in simplest form.

To simplify 600/675 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 600/675 can be reduced in simplest form. In this case, the greatest common divisor of 600 and 675 is 75. Dividing both the numerator and denominator by GCD, the fraction 600/675 becomes 8/9 which is the simplest form.

Simplify 600/675 as a Fraction
Using Factorization:
600/675 = (?)
600/675 = (2 x 2 x 2 x 3 x 5 x 5)/(3 x 3 x 3 x 5 x 5)      //write 600/675 in terms of factors
= 8/9
600/675 = 8/9
600/675 simplified is 8/9

Using GCD:
600/675 = (?)
GCD of 600 and 675 is 75.
600/675 = (600/75)/(675/75)
= 8/9
600/675 = 8/9
600/675 simplified is 8/9 in fraction form
where,
600/675 is the given fraction to be simplified,
8/9 is the lowest term of 600/675.

Notes: Simplify 600/675 in lowest terms
1. 600/675 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 600 and 675 is 75 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 600/675 can be represented in its reduced form.
2. On the other hand, you can also reduce 600/675 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 600/675 becomes (2 x 2 x 2 x 3 x 5 x 5)/(3 x 3 x 3 x 5 x 5). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 600/675 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 600/675

what to be found:
600/675 = ?
Simplify 600/675 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 600/675.
Prime factors of 600 = 2 x 2 x 2 x 3 x 5 x 5

step 3 Find the prime factors of the denominator of given fraction 600/675.
Prime factors of 675 = 3 x 3 x 3 x 5 x 5

step 4 Rewrite the fraction 600/675 in the form of prime factors as like the below:
600/675= (2 x 2 x 2 x 3 x 5 x 5) / (3 x 3 x 3 x 5 x 5)

step 5 Check and reduce the factors of 600 and 675 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 3 x 5 x 5) / (3 x 3 x 3 x 5 x 5)
= (2 x 2 x 2 )/( 3 x 3 )
600/675 = 8/9

Hence,
600/675 in simplest form is 8/9.

Representing fraction 600/675 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 600/675 in its lowest terms.