391/306 Simplified

Learn how to find what is 391/306 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 391/306 in simplest form.

To reduce 391/306 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 391/306 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 391 and 306 is 17. Dividing both the numerator and denominator by GCF, the fraction 391/306 becomes 23/18 which is the simplest form.

391/306 Simplified as a Fraction
Using Factorization:
391/306 = (?)
391/306 = (17 x 23)/(2 x 3 x 3 x 17)      write 391/306 in terms of factors
= 23/18
391/306 = 23/18
391/306 simplified is 23/18

Using GCF
391/306 = (?)
GCF of 391 and 306 is 17.
391/306 = (391/17)/(306/17)
= 23/18
391/306 = 23/18
391/306 simplified is 23/18 in fraction form
where,
391/306 is the given fraction to be simplified,
23/18 is the lowest term of 391/306.

Notes: 391/306 simplified in lowest terms
1. 391/306 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 391 and 306 is 17 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 391/306 can be represented in its reduced form.
2. On the other hand, you can also reduce 391/306 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 391/306 becomes (17 x 23)/(2 x 3 x 3 x 17). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 391/306 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 391/306

what to be found:
391/306 = ?
Reduce 391/306 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 391/306.
Prime factors of 391 = 17 x 23

step 3 Find the prime factors of the denominator of given fraction 391/306.
Prime factors of 306 = 2 x 3 x 3 x 17

step 4 Rewrite the fraction 391/306 in the form of prime factors as like the below:
391/306= (17 x 23) / (2 x 3 x 3 x 17)

step 5 Check and reduce the factors of 391 and 306 if any factors in the numerator and denominator cancel each other:
= (17 x 23) / (2 x 3 x 3 x 17)
= ( 23)/(2 x 3 x 3 )
391/306 = 23/18
Hence,
391/306 in simplest form is 23/18.

391/306 simplified is 23/18, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 391/306 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 391/306 in its lowest terms.