680/860 Simplified

Learn how to find what is 680/860 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 680/860 in simplest form.

To reduce 680/860 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 680/860 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 680 and 860 is 20. Dividing both the numerator and denominator by GCF, the fraction 680/860 becomes 34/43 which is the simplest form.

680/860 Simplified as a Fraction
Using Factorization:
680/860 = (?)
680/860 = (2 x 2 x 2 x 5 x 17)/(2 x 2 x 5 x 43)      write 680/860 in terms of factors
= 34/43
680/860 = 34/43
680/860 simplified is 34/43

Using GCF
680/860 = (?)
GCF of 680 and 860 is 20.
680/860 = (680/20)/(860/20)
= 34/43
680/860 = 34/43
680/860 simplified is 34/43 in fraction form
where,
680/860 is the given fraction to be simplified,
34/43 is the lowest term of 680/860.

Notes: 680/860 simplified in lowest terms
1. 680/860 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 680 and 860 is 20 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 680/860 can be represented in its reduced form.
2. On the other hand, you can also reduce 680/860 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 680/860 becomes (2 x 2 x 2 x 5 x 17)/(2 x 2 x 5 x 43). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 680/860 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 680/860

what to be found:
680/860 = ?
Reduce 680/860 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 680/860.
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 680/860.
Prime factors of 860 = 2 x 2 x 5 x 43

step 4 Rewrite the fraction 680/860 in the form of prime factors as like the below:
680/860= (2 x 2 x 2 x 5 x 17) / (2 x 2 x 5 x 43)

step 5 Check and reduce the factors of 680 and 860 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 5 x 17) / (2 x 2 x 5 x 43)
= ( 2 x 17)/( 43)
680/860 = 34/43
Hence,
680/860 in simplest form is 34/43.

680/860 simplified is 34/43, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 680/860 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 680/860 in its lowest terms.