426/596 Simplified

Learn how to find what is 426/596 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 426/596 in simplest form.

To reduce 426/596 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 426/596 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 426 and 596 is 2. Dividing both the numerator and denominator by GCF, the fraction 426/596 becomes 213/298 which is the simplest form.

426/596 Simplified as a Fraction
Using Factorization:
426/596 = (?)
426/596 = (2 x 3 x 71)/(2 x 2 x 149)      write 426/596 in terms of factors
= 213/298
426/596 = 213/298
426/596 simplified is 213/298

Using GCF
426/596 = (?)
GCF of 426 and 596 is 2.
426/596 = (426/2)/(596/2)
= 213/298
426/596 = 213/298
426/596 simplified is 213/298 in fraction form
where,
426/596 is the given fraction to be simplified,
213/298 is the lowest term of 426/596.

Notes: 426/596 simplified in lowest terms
1. 426/596 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 426 and 596 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 426/596 can be represented in its reduced form.
2. On the other hand, you can also reduce 426/596 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 426/596 becomes (2 x 3 x 71)/(2 x 2 x 149). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 426/596 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 426/596

what to be found:
426/596 = ?
Reduce 426/596 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 426/596.
Prime factors of 426 = 2 x 3 x 71

step 3 Find the prime factors of the denominator of given fraction 426/596.
Prime factors of 596 = 2 x 2 x 149

step 4 Rewrite the fraction 426/596 in the form of prime factors as like the below:
426/596= (2 x 3 x 71) / (2 x 2 x 149)

step 5 Check and reduce the factors of 426 and 596 if any factors in the numerator and denominator cancel each other:
= (2 x 3 x 71) / (2 x 2 x 149)
= ( 3 x 71)/( 2 x 149)
426/596 = 213/298
Hence,
426/596 in simplest form is 213/298.

426/596 simplified is 213/298, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 426/596 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 426/596 in its lowest terms.