426/614 Simplified

Learn how to find what is 426/614 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 426/614 in simplest form.

To reduce 426/614 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 426/614 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 426 and 614 is 2. Dividing both the numerator and denominator by GCF, the fraction 426/614 becomes 213/307 which is the simplest form.

426/614 Simplified as a Fraction
Using Factorization:
426/614 = (?)
426/614 = (2 x 3 x 71)/(2 x 307)      write 426/614 in terms of factors
= 213/307
426/614 = 213/307
426/614 simplified is 213/307

Using GCF
426/614 = (?)
GCF of 426 and 614 is 2.
426/614 = (426/2)/(614/2)
= 213/307
426/614 = 213/307
426/614 simplified is 213/307 in fraction form
where,
426/614 is the given fraction to be simplified,
213/307 is the lowest term of 426/614.

Notes: 426/614 simplified in lowest terms
1. 426/614 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 426 and 614 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 426/614 can be represented in its reduced form.
2. On the other hand, you can also reduce 426/614 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 426/614 becomes (2 x 3 x 71)/(2 x 307). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 426/614 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 426/614

what to be found:
426/614 = ?
Reduce 426/614 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 426/614.
Prime factors of 426 = 2 x 3 x 71

step 3 Find the prime factors of the denominator of given fraction 426/614.
Prime factors of 614 = 2 x 307

step 4 Rewrite the fraction 426/614 in the form of prime factors as like the below:
426/614= (2 x 3 x 71) / (2 x 307)

step 5 Check and reduce the factors of 426 and 614 if any factors in the numerator and denominator cancel each other:
= (2 x 3 x 71) / (2 x 307)
= ( 3 x 71)/( 307)
426/614 = 213/307
Hence,
426/614 in simplest form is 213/307.

426/614 simplified is 213/307, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 426/614 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 426/614 in its lowest terms.