712/56 Simplified

Learn how to find what is 712/56 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 712/56 in simplest form.

To reduce 712/56 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 712/56 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 712 and 56 is 8. Dividing both the numerator and denominator by GCF, the fraction 712/56 becomes 89/7 which is the simplest form.

712/56 Simplified as a Fraction
Using Factorization:
712/56 = (?)
712/56 = (2 x 2 x 2 x 89)/(2 x 2 x 2 x 7)      write 712/56 in terms of factors
= 89/7
712/56 = 89/7
712/56 simplified is 89/7

Using GCF
712/56 = (?)
GCF of 712 and 56 is 8.
712/56 = (712/8)/(56/8)
= 89/7
712/56 = 89/7
712/56 simplified is 89/7 in fraction form
where,
712/56 is the given fraction to be simplified,
89/7 is the lowest term of 712/56.

Notes: 712/56 simplified in lowest terms
1. 712/56 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 712 and 56 is 8 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 712/56 can be represented in its reduced form.
2. On the other hand, you can also reduce 712/56 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 712/56 becomes (2 x 2 x 2 x 89)/(2 x 2 x 2 x 7). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 712/56 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 712/56

what to be found:
712/56 = ?
Reduce 712/56 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 712/56.
Prime factors of 712 = 2 x 2 x 2 x 89

step 3 Find the prime factors of the denominator of given fraction 712/56.
Prime factors of 56 = 2 x 2 x 2 x 7

step 4 Rewrite the fraction 712/56 in the form of prime factors as like the below:
712/56= (2 x 2 x 2 x 89) / (2 x 2 x 2 x 7)

step 5 Check and reduce the factors of 712 and 56 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 89) / (2 x 2 x 2 x 7)
= ( 89)/( 7)
712/56 = 89/7
Hence,
712/56 in simplest form is 89/7.

712/56 simplified is 89/7, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 712/56 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 712/56 in its lowest terms.