82/123 Simplified

Learn how to find what is 82/123 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 82/123 in simplest form.

To reduce 82/123 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 82/123 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 82 and 123 is 41. Dividing both the numerator and denominator by GCF, the fraction 82/123 becomes 2/3 which is the simplest form.

82/123 Simplified as a Fraction
Using Factorization:
82/123 = (?)
82/123 = (2 x 41)/(3 x 41)      write 82/123 in terms of factors
= 2/3
82/123 = 2/3
82/123 simplified is 2/3

Using GCF
82/123 = (?)
GCF of 82 and 123 is 41.
82/123 = (82/41)/(123/41)
= 2/3
82/123 = 2/3
82/123 simplified is 2/3 in fraction form
where,
82/123 is the given fraction to be simplified,
2/3 is the lowest term of 82/123.

Notes: 82/123 simplified in lowest terms
1. 82/123 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 82 and 123 is 41 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 82/123 can be represented in its reduced form.
2. On the other hand, you can also reduce 82/123 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 82/123 becomes (2 x 41)/(3 x 41). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 82/123 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 82/123

what to be found:
82/123 = ?
Reduce 82/123 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 82/123.
Prime factors of 82 = 2 x 41

step 3 Find the prime factors of the denominator of given fraction 82/123.
Prime factors of 123 = 3 x 41

step 4 Rewrite the fraction 82/123 in the form of prime factors as like the below:
82/123= (2 x 41) / (3 x 41)

step 5 Check and reduce the factors of 82 and 123 if any factors in the numerator and denominator cancel each other:
= (2 x 41) / (3 x 41)
= (2 )/(3 )
82/123 = 2/3
Hence,
82/123 in simplest form is 2/3.

82/123 simplified is 2/3, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 82/123 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 82/123 in its lowest terms.