68/1323 Simplified

Learn how to find what is 68/1323 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 68/1323 in simplest form.

To reduce 68/1323 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 68/1323 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 68 and 1323 is 1. Dividing both the numerator and denominator by GCF, the fraction 68/1323 becomes 68/1323 which is the simplest form.

68/1323 Simplified as a Fraction
Using Factorization:
68/1323 = (?)
68/1323 = (2 x 2 x 17)/(3 x 3 x 3 x 7 x 7)      write 68/1323 in terms of factors
= 68/1323
68/1323 = 68/1323
68/1323 simplified is 68/1323

Using GCF
68/1323 = (?)
GCF of 68 and 1323 is 1.
68/1323 = (68/1)/(1323/1)
= 68/1323
68/1323 = 68/1323
68/1323 simplified is 68/1323 in fraction form

Notes: 68/1323 simplified in lowest terms
1. 68/1323 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 68 and 1323 is 1 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 68/1323 can be represented in its reduced form.
2. On the other hand, you can also reduce 68/1323 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 68/1323 becomes (2 x 2 x 17)/(3 x 3 x 3 x 7 x 7). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 68/1323 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 68/1323

what to be found:
68/1323 = ?
Reduce 68/1323 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 68/1323.
Prime factors of 68 = 2 x 2 x 17

step 3 Find the prime factors of the denominator of given fraction 68/1323.
Prime factors of 1323 = 3 x 3 x 3 x 7 x 7

step 4 Rewrite the fraction 68/1323 in the form of prime factors as like the below:
68/1323= (2 x 2 x 17) / (3 x 3 x 3 x 7 x 7)

step 5 Check and reduce the factors of 68 and 1323 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 17) / (3 x 3 x 3 x 7 x 7)
= (2 x 2 x 17)/(3 x 3 x 3 x 7 x 7)
68/1323 = 68/1323
Hence,
68/1323 in simplest form is 68/1323.

68/1323 simplified is 68/1323, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 68/1323 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 68/1323 in its lowest terms.