678/930 Simplified

Learn how to find what is 678/930 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 678/930 in simplest form.

To reduce 678/930 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 678/930 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 678 and 930 is 6. Dividing both the numerator and denominator by GCF, the fraction 678/930 becomes 113/155 which is the simplest form.

678/930 Simplified as a Fraction
Using Factorization:
678/930 = (?)
678/930 = (2 x 3 x 113)/(2 x 3 x 5 x 31)      write 678/930 in terms of factors
= 113/155
678/930 = 113/155
678/930 simplified is 113/155

Using GCF
678/930 = (?)
GCF of 678 and 930 is 6.
678/930 = (678/6)/(930/6)
= 113/155
678/930 = 113/155
678/930 simplified is 113/155 in fraction form
where,
678/930 is the given fraction to be simplified,
113/155 is the lowest term of 678/930.

Notes: 678/930 simplified in lowest terms
1. 678/930 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 678 and 930 is 6 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 678/930 can be represented in its reduced form.
2. On the other hand, you can also reduce 678/930 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 678/930 becomes (2 x 3 x 113)/(2 x 3 x 5 x 31). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 678/930 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 678/930

what to be found:
678/930 = ?
Reduce 678/930 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 678/930.
Prime factors of 678 = 2 x 3 x 113

step 3 Find the prime factors of the denominator of given fraction 678/930.
Prime factors of 930 = 2 x 3 x 5 x 31

step 4 Rewrite the fraction 678/930 in the form of prime factors as like the below:
678/930= (2 x 3 x 113) / (2 x 3 x 5 x 31)

step 5 Check and reduce the factors of 678 and 930 if any factors in the numerator and denominator cancel each other:
= (2 x 3 x 113) / (2 x 3 x 5 x 31)
= ( 113)/( 5 x 31)
678/930 = 113/155
Hence,
678/930 in simplest form is 113/155.

678/930 simplified is 113/155, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 678/930 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 678/930 in its lowest terms.