730/426 Simplified

Learn how to find what is 730/426 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 730/426 in simplest form.

To reduce 730/426 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 730/426 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 730 and 426 is 2. Dividing both the numerator and denominator by GCF, the fraction 730/426 becomes 365/213 which is the simplest form.

730/426 Simplified as a Fraction
Using Factorization:
730/426 = (?)
730/426 = (2 x 5 x 73)/(2 x 3 x 71)      write 730/426 in terms of factors
= 365/213
730/426 = 365/213
730/426 simplified is 365/213

Using GCF
730/426 = (?)
GCF of 730 and 426 is 2.
730/426 = (730/2)/(426/2)
= 365/213
730/426 = 365/213
730/426 simplified is 365/213 in fraction form
where,
730/426 is the given fraction to be simplified,
365/213 is the lowest term of 730/426.

Notes: 730/426 simplified in lowest terms
1. 730/426 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 730 and 426 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 730/426 can be represented in its reduced form.
2. On the other hand, you can also reduce 730/426 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 730/426 becomes (2 x 5 x 73)/(2 x 3 x 71). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 730/426 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 730/426

what to be found:
730/426 = ?
Reduce 730/426 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 730/426.
Prime factors of 730 = 2 x 5 x 73

step 3 Find the prime factors of the denominator of given fraction 730/426.
Prime factors of 426 = 2 x 3 x 71

step 4 Rewrite the fraction 730/426 in the form of prime factors as like the below:
730/426= (2 x 5 x 73) / (2 x 3 x 71)

step 5 Check and reduce the factors of 730 and 426 if any factors in the numerator and denominator cancel each other:
= (2 x 5 x 73) / (2 x 3 x 71)
= ( 5 x 73)/( 3 x 71)
730/426 = 365/213
Hence,
730/426 in simplest form is 365/213.

730/426 simplified is 365/213, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 730/426 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 730/426 in its lowest terms.