1027/13 Simplified

Learn how to find what is 1027/13 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 1027/13 in simplest form.

To simplify 1027/13 in its lowest terms, you must be familiar with either how to find the greatest common divisor or prime factors. Both of these methods are used to recognize if 1027/13 can be reduced in simplest form. In this case, the greatest common divisor of 1027 and 13 is 13. Dividing both the numerator and denominator by GCD, the fraction 1027/13 becomes 79/1 which is the simplest form.

Simplify 1027/13 as a Fraction
Using Factorization:
1027/13 = (?)
1027/13 = (13 x 79)/(13)      //write 1027/13 in terms of factors
= 79/1
1027/13 = 79/1
1027/13 simplified is 79/1

Using GCD:
1027/13 = (?)
GCD of 1027 and 13 is 13.
1027/13 = (1027/13)/(13/13)
= 79/1
1027/13 = 79/1
1027/13 simplified is 79/1 in fraction form
where,
1027/13 is the given fraction to be simplified,
79/1 is the lowest term of 1027/13.

Notes: Simplify 1027/13 in lowest terms
1. 1027/13 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 1027 and 13 is 13 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 1027/13 can be represented in its reduced form.
2. On the other hand, you can also reduce 1027/13 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 1027/13 becomes (13 x 79)/(13). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 1027/13 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 1027/13

what to be found:
1027/13 = ?
Simplify 1027/13 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 1027/13.
Prime factors of 1027 = 13 x 79

step 3 Find the prime factors of the denominator of given fraction 1027/13.
Prime factors of 13 = 13

step 4 Rewrite the fraction 1027/13 in the form of prime factors as like the below:
1027/13= (13 x 79) / (13)

step 5 Check and reduce the factors of 1027 and 13 if any factors in the numerator and denominator cancel each other:
= (13 x 79) / (13)
= ( 79)/(1)
1027/13 = 79/1

Hence,
1027/13 in simplest form is 79/1.

Representing fraction 1027/13 in lowest terms is a better way than its original form to easily recognize the fraction or use in mathematical operations. Simplify fraction involves finding the greatest common factor or factorization. Recognizing the GCD or prime factors of numerator and denominator of a fraction is key when you start reducing fractions like 1027/13 in its lowest terms.