682/862 Simplified

Learn how to find what is 682/862 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 682/862 in simplest form.

To reduce 682/862 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 682/862 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 682 and 862 is 2. Dividing both the numerator and denominator by GCF, the fraction 682/862 becomes 341/431 which is the simplest form.

682/862 Simplified as a Fraction
Using Factorization:
682/862 = (?)
682/862 = (2 x 11 x 31)/(2 x 431)      write 682/862 in terms of factors
= 341/431
682/862 = 341/431
682/862 simplified is 341/431

Using GCF
682/862 = (?)
GCF of 682 and 862 is 2.
682/862 = (682/2)/(862/2)
= 341/431
682/862 = 341/431
682/862 simplified is 341/431 in fraction form
where,
682/862 is the given fraction to be simplified,
341/431 is the lowest term of 682/862.

Notes: 682/862 simplified in lowest terms
1. 682/862 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 682 and 862 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 682/862 can be represented in its reduced form.
2. On the other hand, you can also reduce 682/862 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 682/862 becomes (2 x 11 x 31)/(2 x 431). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 682/862 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 682/862

what to be found:
682/862 = ?
Reduce 682/862 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 682/862.
Prime factors of 682 = 2 x 11 x 31

step 3 Find the prime factors of the denominator of given fraction 682/862.
Prime factors of 862 = 2 x 431

step 4 Rewrite the fraction 682/862 in the form of prime factors as like the below:
682/862= (2 x 11 x 31) / (2 x 431)

step 5 Check and reduce the factors of 682 and 862 if any factors in the numerator and denominator cancel each other:
= (2 x 11 x 31) / (2 x 431)
= ( 11 x 31)/( 431)
682/862 = 341/431
Hence,
682/862 in simplest form is 341/431.

682/862 simplified is 341/431, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 682/862 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 682/862 in its lowest terms.