480/430 Simplified

Learn how to find what is 480/430 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 480/430 in simplest form.

To simplify 480/430 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 480/430 can be reduced in simplest form. In this case, the greatest common divisor of 480 and 430 is 10. Dividing both the numerator and denominator by GCD, the fraction 480/430 becomes 48/43 which is the simplest form.

Simplify 480/430 as a Fraction
Using Factorization:
480/430 = (?)
480/430 = (2 x 2 x 2 x 2 x 2 x 3 x 5)/(2 x 5 x 43)      //write 480/430 in terms of factors
= 48/43
480/430 = 48/43
480/430 simplified is 48/43

Using GCD:
480/430 = (?)
GCD of 480 and 430 is 10.
480/430 = (480/10)/(430/10)
= 48/43
480/430 = 48/43
480/430 simplified is 48/43 in fraction form
where,
480/430 is the given fraction to be simplified,
48/43 is the lowest term of 480/430.

Notes: Simplify 480/430 in lowest terms
1. 480/430 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 480 and 430 is 10 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 480/430 can be represented in its reduced form.
2. On the other hand, you can also reduce 480/430 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 480/430 becomes (2 x 2 x 2 x 2 x 2 x 3 x 5)/(2 x 5 x 43). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 480/430 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 480/430

what to be found:
480/430 = ?
Simplify 480/430 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 480/430.
Prime factors of 480 = 2 x 2 x 2 x 2 x 2 x 3 x 5

step 3 Find the prime factors of the denominator of given fraction 480/430.
Prime factors of 430 = 2 x 5 x 43

step 4 Rewrite the fraction 480/430 in the form of prime factors as like the below:
480/430= (2 x 2 x 2 x 2 x 2 x 3 x 5) / (2 x 5 x 43)

step 5 Check and reduce the factors of 480 and 430 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 2 x 2 x 3 x 5) / (2 x 5 x 43)
= ( 2 x 2 x 2 x 2 x 3 )/( 43)
480/430 = 48/43

Hence,
480/430 in simplest form is 48/43.

Representing fraction 480/430 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 480/430 in its lowest terms.