689/897 Simplified

Learn how to find what is 689/897 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 689/897 in simplest form.

To reduce 689/897 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 689/897 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 689 and 897 is 13. Dividing both the numerator and denominator by GCF, the fraction 689/897 becomes 53/69 which is the simplest form.

689/897 Simplified as a Fraction
Using Factorization:
689/897 = (?)
689/897 = (13 x 53)/(3 x 13 x 23)      write 689/897 in terms of factors
= 53/69
689/897 = 53/69
689/897 simplified is 53/69

Using GCF
689/897 = (?)
GCF of 689 and 897 is 13.
689/897 = (689/13)/(897/13)
= 53/69
689/897 = 53/69
689/897 simplified is 53/69 in fraction form
where,
689/897 is the given fraction to be simplified,
53/69 is the lowest term of 689/897.

Notes: 689/897 simplified in lowest terms
1. 689/897 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 689 and 897 is 13 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 689/897 can be represented in its reduced form.
2. On the other hand, you can also reduce 689/897 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 689/897 becomes (13 x 53)/(3 x 13 x 23). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 689/897 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 689/897

what to be found:
689/897 = ?
Reduce 689/897 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 689/897.
Prime factors of 689 = 13 x 53

step 3 Find the prime factors of the denominator of given fraction 689/897.
Prime factors of 897 = 3 x 13 x 23

step 4 Rewrite the fraction 689/897 in the form of prime factors as like the below:
689/897= (13 x 53) / (3 x 13 x 23)

step 5 Check and reduce the factors of 689 and 897 if any factors in the numerator and denominator cancel each other:
= (13 x 53) / (3 x 13 x 23)
= ( 53)/(3 x 23)
689/897 = 53/69
Hence,
689/897 in simplest form is 53/69.

689/897 simplified is 53/69, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 689/897 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 689/897 in its lowest terms.