428/390 Simplified

Learn how to find what is 428/390 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 428/390 in simplest form.

To reduce 428/390 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 428/390 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 428 and 390 is 2. Dividing both the numerator and denominator by GCF, the fraction 428/390 becomes 214/195 which is the simplest form.

428/390 Simplified as a Fraction
Using Factorization:
428/390 = (?)
428/390 = (2 x 2 x 107)/(2 x 3 x 5 x 13)      write 428/390 in terms of factors
= 214/195
428/390 = 214/195
428/390 simplified is 214/195

Using GCF
428/390 = (?)
GCF of 428 and 390 is 2.
428/390 = (428/2)/(390/2)
= 214/195
428/390 = 214/195
428/390 simplified is 214/195 in fraction form
where,
428/390 is the given fraction to be simplified,
214/195 is the lowest term of 428/390.

Notes: 428/390 simplified in lowest terms
1. 428/390 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 428 and 390 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 428/390 can be represented in its reduced form.
2. On the other hand, you can also reduce 428/390 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 428/390 becomes (2 x 2 x 107)/(2 x 3 x 5 x 13). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 428/390 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 428/390

what to be found:
428/390 = ?
Reduce 428/390 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 428/390.
Prime factors of 428 = 2 x 2 x 107

step 3 Find the prime factors of the denominator of given fraction 428/390.
Prime factors of 390 = 2 x 3 x 5 x 13

step 4 Rewrite the fraction 428/390 in the form of prime factors as like the below:
428/390= (2 x 2 x 107) / (2 x 3 x 5 x 13)

step 5 Check and reduce the factors of 428 and 390 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 107) / (2 x 3 x 5 x 13)
= ( 2 x 107)/( 3 x 5 x 13)
428/390 = 214/195
Hence,
428/390 in simplest form is 214/195.

428/390 simplified is 214/195, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 428/390 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 428/390 in its lowest terms.