426/459 Simplified

Learn how to find what is 426/459 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 426/459 in simplest form.

To reduce 426/459 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 426/459 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 426 and 459 is 3. Dividing both the numerator and denominator by GCF, the fraction 426/459 becomes 142/153 which is the simplest form.

426/459 Simplified as a Fraction
Using Factorization:
426/459 = (?)
426/459 = (2 x 3 x 71)/(3 x 3 x 3 x 17)      write 426/459 in terms of factors
= 142/153
426/459 = 142/153
426/459 simplified is 142/153

Using GCF
426/459 = (?)
GCF of 426 and 459 is 3.
426/459 = (426/3)/(459/3)
= 142/153
426/459 = 142/153
426/459 simplified is 142/153 in fraction form
where,
426/459 is the given fraction to be simplified,
142/153 is the lowest term of 426/459.

Notes: 426/459 simplified in lowest terms
1. 426/459 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 426 and 459 is 3 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 426/459 can be represented in its reduced form.
2. On the other hand, you can also reduce 426/459 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 426/459 becomes (2 x 3 x 71)/(3 x 3 x 3 x 17). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 426/459 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 426/459

what to be found:
426/459 = ?
Reduce 426/459 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 426/459.
Prime factors of 426 = 2 x 3 x 71

step 3 Find the prime factors of the denominator of given fraction 426/459.
Prime factors of 459 = 3 x 3 x 3 x 17

step 4 Rewrite the fraction 426/459 in the form of prime factors as like the below:
426/459= (2 x 3 x 71) / (3 x 3 x 3 x 17)

step 5 Check and reduce the factors of 426 and 459 if any factors in the numerator and denominator cancel each other:
= (2 x 3 x 71) / (3 x 3 x 3 x 17)
= (2 x 71)/( 3 x 3 x 17)
426/459 = 142/153
Hence,
426/459 in simplest form is 142/153.

426/459 simplified is 142/153, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 426/459 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 426/459 in its lowest terms.