697/391 Simplified

Learn how to find what is 697/391 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 697/391 in simplest form.

To reduce 697/391 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 697/391 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 697 and 391 is 17. Dividing both the numerator and denominator by GCF, the fraction 697/391 becomes 41/23 which is the simplest form.

697/391 Simplified as a Fraction
Using Factorization:
697/391 = (?)
697/391 = (17 x 41)/(17 x 23)      write 697/391 in terms of factors
= 41/23
697/391 = 41/23
697/391 simplified is 41/23

Using GCF
697/391 = (?)
GCF of 697 and 391 is 17.
697/391 = (697/17)/(391/17)
= 41/23
697/391 = 41/23
697/391 simplified is 41/23 in fraction form
where,
697/391 is the given fraction to be simplified,
41/23 is the lowest term of 697/391.

Notes: 697/391 simplified in lowest terms
1. 697/391 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 697 and 391 is 17 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 697/391 can be represented in its reduced form.
2. On the other hand, you can also reduce 697/391 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 697/391 becomes (17 x 41)/(17 x 23). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 697/391 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 697/391

what to be found:
697/391 = ?
Reduce 697/391 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 697/391.
Prime factors of 697 = 17 x 41

step 3 Find the prime factors of the denominator of given fraction 697/391.
Prime factors of 391 = 17 x 23

step 4 Rewrite the fraction 697/391 in the form of prime factors as like the below:
697/391= (17 x 41) / (17 x 23)

step 5 Check and reduce the factors of 697 and 391 if any factors in the numerator and denominator cancel each other:
= (17 x 41) / (17 x 23)
= ( 41)/( 23)
697/391 = 41/23
Hence,
697/391 in simplest form is 41/23.

697/391 simplified is 41/23, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 697/391 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 697/391 in its lowest terms.