680/585 Simplified

Learn how to find what is 680/585 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 680/585 in simplest form.

To reduce 680/585 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 680/585 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 680 and 585 is 5. Dividing both the numerator and denominator by GCF, the fraction 680/585 becomes 136/117 which is the simplest form.

680/585 Simplified as a Fraction
Using Factorization:
680/585 = (?)
680/585 = (2 x 2 x 2 x 5 x 17)/(3 x 3 x 5 x 13)      write 680/585 in terms of factors
= 136/117
680/585 = 136/117
680/585 simplified is 136/117

Using GCF
680/585 = (?)
GCF of 680 and 585 is 5.
680/585 = (680/5)/(585/5)
= 136/117
680/585 = 136/117
680/585 simplified is 136/117 in fraction form
where,
680/585 is the given fraction to be simplified,
136/117 is the lowest term of 680/585.

Notes: 680/585 simplified in lowest terms
1. 680/585 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 680 and 585 is 5 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 680/585 can be represented in its reduced form.
2. On the other hand, you can also reduce 680/585 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 680/585 becomes (2 x 2 x 2 x 5 x 17)/(3 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 680/585 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 680/585

what to be found:
680/585 = ?
Reduce 680/585 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 680/585.
Prime factors of 680 = 2 x 2 x 2 x 5 x 17

step 3 Find the prime factors of the denominator of given fraction 680/585.
Prime factors of 585 = 3 x 3 x 5 x 13

step 4 Rewrite the fraction 680/585 in the form of prime factors as like the below:
680/585= (2 x 2 x 2 x 5 x 17) / (3 x 3 x 5 x 13)

step 5 Check and reduce the factors of 680 and 585 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 5 x 17) / (3 x 3 x 5 x 13)
= (2 x 2 x 2 x 17)/(3 x 3 x 13)
680/585 = 136/117
Hence,
680/585 in simplest form is 136/117.

680/585 simplified is 136/117, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 680/585 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 680/585 in its lowest terms.