72/430 Simplified

Learn how to find what is 72/430 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 72/430 in simplest form.

To reduce 72/430 in its lowest terms, you must be familiar with either how to find the greatest common factor or prime factors. Both of these methods are used to recognize if 72/430 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 72 and 430 is 2. Dividing both the numerator and denominator by GCF, the fraction 72/430 becomes 36/215 which is the simplest form.

72/430 Simplified as a Fraction
Using Factorization:
72/430 = (?)
72/430 = (2 x 2 x 2 x 3 x 3)/(2 x 5 x 43)      write 72/430 in terms of factors
= 36/215
72/430 = 36/215
72/430 simplified is 36/215

Using GCF
72/430 = (?)
GCF of 72 and 430 is 2.
72/430 = (72/2)/(430/2)
= 36/215
72/430 = 36/215
72/430 simplified is 36/215 in fraction form
where,
72/430 is the given fraction to be simplified,
36/215 is the lowest term of 72/430.

Notes: 72/430 simplified in lowest terms
1. 72/430 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 72 and 430 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 72/430 can be represented in its reduced form.
2. On the other hand, you can also reduce 72/430 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 72/430 becomes (2 x 2 x 2 x 3 x 3)/(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 72/430 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 72/430

what to be found:
72/430 = ?
Reduce 72/430 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 72/430.
Prime factors of 72 = 2 x 2 x 2 x 3 x 3

step 3 Find the prime factors of the denominator of given fraction 72/430.
Prime factors of 430 = 2 x 5 x 43

step 4 Rewrite the fraction 72/430 in the form of prime factors as like the below:
72/430= (2 x 2 x 2 x 3 x 3) / (2 x 5 x 43)

step 5 Check and reduce the factors of 72 and 430 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 3 x 3) / (2 x 5 x 43)
= ( 2 x 2 x 3 x 3)/( 5 x 43)
72/430 = 36/215
Hence,
72/430 in simplest form is 36/215.

72/430 simplified is 36/215, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 72/430 to its simplest form involves the greatest common factor or factorization. Recognizing the GCF or prime factors of numerator and denominator of a fraction is key when you start reducing fractions like 72/430 in its lowest terms.