696/406 Simplified

Learn how to find what is 696/406 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 696/406 in simplest form.

To reduce 696/406 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 696/406 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 696 and 406 is 58. Dividing both the numerator and denominator by GCF, the fraction 696/406 becomes 12/7 which is the simplest form.

696/406 Simplified as a Fraction
Using Factorization:
696/406 = (?)
696/406 = (2 x 2 x 2 x 3 x 29)/(2 x 7 x 29)      write 696/406 in terms of factors
= 12/7
696/406 = 12/7
696/406 simplified is 12/7

Using GCF
696/406 = (?)
GCF of 696 and 406 is 58.
696/406 = (696/58)/(406/58)
= 12/7
696/406 = 12/7
696/406 simplified is 12/7 in fraction form
where,
696/406 is the given fraction to be simplified,
12/7 is the lowest term of 696/406.

Notes: 696/406 simplified in lowest terms
1. 696/406 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 696 and 406 is 58 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 696/406 can be represented in its reduced form.
2. On the other hand, you can also reduce 696/406 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 696/406 becomes (2 x 2 x 2 x 3 x 29)/(2 x 7 x 29). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 696/406 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 696/406

what to be found:
696/406 = ?
Reduce 696/406 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 696/406.
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 696/406.
Prime factors of 406 = 2 x 7 x 29

step 4 Rewrite the fraction 696/406 in the form of prime factors as like the below:
696/406= (2 x 2 x 2 x 3 x 29) / (2 x 7 x 29)

step 5 Check and reduce the factors of 696 and 406 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 3 x 29) / (2 x 7 x 29)
= ( 2 x 2 x 3 )/( 7 )
696/406 = 12/7
Hence,
696/406 in simplest form is 12/7.

696/406 simplified is 12/7, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 696/406 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 696/406 in its lowest terms.