696/513 Simplified

Learn how to find what is 696/513 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 696/513 in simplest form.

To reduce 696/513 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 696/513 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 696 and 513 is 3. Dividing both the numerator and denominator by GCF, the fraction 696/513 becomes 232/171 which is the simplest form.

696/513 Simplified as a Fraction
Using Factorization:
696/513 = (?)
696/513 = (2 x 2 x 2 x 3 x 29)/(3 x 3 x 3 x 19)      write 696/513 in terms of factors
= 232/171
696/513 = 232/171
696/513 simplified is 232/171

Using GCF
696/513 = (?)
GCF of 696 and 513 is 3.
696/513 = (696/3)/(513/3)
= 232/171
696/513 = 232/171
696/513 simplified is 232/171 in fraction form
where,
696/513 is the given fraction to be simplified,
232/171 is the lowest term of 696/513.

Notes: 696/513 simplified in lowest terms
1. 696/513 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 696 and 513 is 3 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 696/513 can be represented in its reduced form.
2. On the other hand, you can also reduce 696/513 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 696/513 becomes (2 x 2 x 2 x 3 x 29)/(3 x 3 x 3 x 19). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 696/513 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 696/513

what to be found:
696/513 = ?
Reduce 696/513 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 696/513.
Prime factors of 696 = 2 x 2 x 2 x 3 x 29

step 3 Find the prime factors of the denominator of given fraction 696/513.
Prime factors of 513 = 3 x 3 x 3 x 19

step 4 Rewrite the fraction 696/513 in the form of prime factors as like the below:
696/513= (2 x 2 x 2 x 3 x 29) / (3 x 3 x 3 x 19)

step 5 Check and reduce the factors of 696 and 513 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 3 x 29) / (3 x 3 x 3 x 19)
= (2 x 2 x 2 x 29)/( 3 x 3 x 19)
696/513 = 232/171
Hence,
696/513 in simplest form is 232/171.

696/513 simplified is 232/171, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 696/513 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 696/513 in its lowest terms.