819/208 Simplified

Learn how to find what is 819/208 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 819/208 in simplest form.

To reduce 819/208 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 819/208 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 819 and 208 is 13. Dividing both the numerator and denominator by GCF, the fraction 819/208 becomes 63/16 which is the simplest form.

819/208 Simplified as a Fraction
Using Factorization:
819/208 = (?)
819/208 = (3 x 3 x 7 x 13)/(2 x 2 x 2 x 2 x 13)      write 819/208 in terms of factors
= 63/16
819/208 = 63/16
819/208 simplified is 63/16

Using GCF
819/208 = (?)
GCF of 819 and 208 is 13.
819/208 = (819/13)/(208/13)
= 63/16
819/208 = 63/16
819/208 simplified is 63/16 in fraction form
where,
819/208 is the given fraction to be simplified,
63/16 is the lowest term of 819/208.

Notes: 819/208 simplified in lowest terms
1. 819/208 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 819 and 208 is 13 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 819/208 can be represented in its reduced form.
2. On the other hand, you can also reduce 819/208 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 819/208 becomes (3 x 3 x 7 x 13)/(2 x 2 x 2 x 2 x 13). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 819/208 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 819/208

what to be found:
819/208 = ?
Reduce 819/208 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 819/208.
Prime factors of 819 = 3 x 3 x 7 x 13

step 3 Find the prime factors of the denominator of given fraction 819/208.
Prime factors of 208 = 2 x 2 x 2 x 2 x 13

step 4 Rewrite the fraction 819/208 in the form of prime factors as like the below:
819/208= (3 x 3 x 7 x 13) / (2 x 2 x 2 x 2 x 13)

step 5 Check and reduce the factors of 819 and 208 if any factors in the numerator and denominator cancel each other:
= (3 x 3 x 7 x 13) / (2 x 2 x 2 x 2 x 13)
= (3 x 3 x 7 )/(2 x 2 x 2 x 2 )
819/208 = 63/16
Hence,
819/208 in simplest form is 63/16.

819/208 simplified is 63/16, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 819/208 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 819/208 in its lowest terms.