172/215 Simplified

Learn how to find what is 172/215 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 172/215 in simplest form.

To simplify 172/215 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 172/215 can be reduced in simplest form. In this case, the greatest common divisor of 172 and 215 is 43. Dividing both the numerator and denominator by GCD, the fraction 172/215 becomes 4/5 which is the simplest form.

Simplify 172/215 as a Fraction
Using Factorization:
172/215 = (?)
172/215 = (2 x 2 x 43)/(5 x 43)      //write 172/215 in terms of factors
= 4/5
172/215 = 4/5
172/215 simplified is 4/5

Using GCD:
172/215 = (?)
GCD of 172 and 215 is 43.
172/215 = (172/43)/(215/43)
= 4/5
172/215 = 4/5
172/215 simplified is 4/5 in fraction form
where,
172/215 is the given fraction to be simplified,
4/5 is the lowest term of 172/215.

Notes: Simplify 172/215 in lowest terms
1. 172/215 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 172 and 215 is 43 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 172/215 can be represented in its reduced form.
2. On the other hand, you can also reduce 172/215 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 172/215 becomes (2 x 2 x 43)/(5 x 43). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 172/215 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 172/215

what to be found:
172/215 = ?
Simplify 172/215 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 172/215.
Prime factors of 172 = 2 x 2 x 43

step 3 Find the prime factors of the denominator of given fraction 172/215.
Prime factors of 215 = 5 x 43

step 4 Rewrite the fraction 172/215 in the form of prime factors as like the below:
172/215= (2 x 2 x 43) / (5 x 43)

step 5 Check and reduce the factors of 172 and 215 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 43) / (5 x 43)
= (2 x 2 )/(5 )
172/215 = 4/5

Hence,
172/215 in simplest form is 4/5.

Representing fraction 172/215 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 172/215 in its lowest terms.