426/490 Simplified

Learn how to find what is 426/490 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 426/490 in simplest form.

To reduce 426/490 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 426/490 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 426 and 490 is 2. Dividing both the numerator and denominator by GCF, the fraction 426/490 becomes 213/245 which is the simplest form.

426/490 Simplified as a Fraction
Using Factorization:
426/490 = (?)
426/490 = (2 x 3 x 71)/(2 x 5 x 7 x 7)      write 426/490 in terms of factors
= 213/245
426/490 = 213/245
426/490 simplified is 213/245

Using GCF
426/490 = (?)
GCF of 426 and 490 is 2.
426/490 = (426/2)/(490/2)
= 213/245
426/490 = 213/245
426/490 simplified is 213/245 in fraction form
where,
426/490 is the given fraction to be simplified,
213/245 is the lowest term of 426/490.

Notes: 426/490 simplified in lowest terms
1. 426/490 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 426 and 490 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 426/490 can be represented in its reduced form.
2. On the other hand, you can also reduce 426/490 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 426/490 becomes (2 x 3 x 71)/(2 x 5 x 7 x 7). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 426/490 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 426/490

what to be found:
426/490 = ?
Reduce 426/490 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 426/490.
Prime factors of 426 = 2 x 3 x 71

step 3 Find the prime factors of the denominator of given fraction 426/490.
Prime factors of 490 = 2 x 5 x 7 x 7

step 4 Rewrite the fraction 426/490 in the form of prime factors as like the below:
426/490= (2 x 3 x 71) / (2 x 5 x 7 x 7)

step 5 Check and reduce the factors of 426 and 490 if any factors in the numerator and denominator cancel each other:
= (2 x 3 x 71) / (2 x 5 x 7 x 7)
= ( 3 x 71)/( 5 x 7 x 7)
426/490 = 213/245
Hence,
426/490 in simplest form is 213/245.

426/490 simplified is 213/245, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 426/490 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 426/490 in its lowest terms.