748/559 Simplified

Learn how to find what is 748/559 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 748/559 in simplest form.

To reduce 748/559 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 748/559 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 748 and 559 is 1. Dividing both the numerator and denominator by GCF, the fraction 748/559 becomes 748/559 which is the simplest form.

748/559 Simplified as a Fraction
Using Factorization:
748/559 = (?)
748/559 = (2 x 2 x 11 x 17)/(13 x 43)      write 748/559 in terms of factors
= 748/559
748/559 = 748/559
748/559 simplified is 748/559

Using GCF
748/559 = (?)
GCF of 748 and 559 is 1.
748/559 = (748/1)/(559/1)
= 748/559
748/559 = 748/559
748/559 simplified is 748/559 in fraction form

Notes: 748/559 simplified in lowest terms
1. 748/559 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 748 and 559 is 1 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 748/559 can be represented in its reduced form.
2. On the other hand, you can also reduce 748/559 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 748/559 becomes (2 x 2 x 11 x 17)/(13 x 43). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 748/559 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 748/559

what to be found:
748/559 = ?
Reduce 748/559 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 748/559.
Prime factors of 748 = 2 x 2 x 11 x 17

step 3 Find the prime factors of the denominator of given fraction 748/559.
Prime factors of 559 = 13 x 43

step 4 Rewrite the fraction 748/559 in the form of prime factors as like the below:
748/559= (2 x 2 x 11 x 17) / (13 x 43)

step 5 Check and reduce the factors of 748 and 559 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 11 x 17) / (13 x 43)
= (2 x 2 x 11 x 17)/(13 x 43)
748/559 = 748/559
Hence,
748/559 in simplest form is 748/559.

748/559 simplified is 748/559, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 748/559 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 748/559 in its lowest terms.