What is 674/874 simplified as a fraction?
674/874 in simplest form is 337/437.
Learn how to find what is 674/874 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 674/874 in simplest form.
To reduce 674/874 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 674/874 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 674 and 874 is 2. Dividing both the numerator and denominator by GCF, the fraction 674/874 becomes 337/437 which is the simplest form.
674/874 Simplified as a Fraction
Using Factorization:
674/874 = (?)
674/874 = (2 x 337)/(2 x 19 x 23) write 674/874 in terms of factors
= 337/437
674/874 = 337/437
674/874 simplified is 337/437
Using GCF
674/874 = (?)
GCF of 674 and 874 is 2.
674/874 = (674/2)/(874/2)
= 337/437
674/874 = 337/437
674/874 simplified is 337/437 in fraction form
where,
674/874 is the given fraction to be simplified,
337/437 is the lowest term of 674/874.
Notes: 674/874 simplified in lowest terms
1. 674/874 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 674 and 874 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 674/874 can be represented in its reduced form.
2. On the other hand, you can also reduce 674/874 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 674/874 becomes (2 x 337)/(2 x 19 x 23). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 674/874 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 674/874
what to be found:
674/874 = ?
Reduce 674/874 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 674/874.
Prime factors of 674 = 2 x 337
step 3 Find the prime factors of the denominator of given fraction 674/874.
Prime factors of 874 = 2 x 19 x 23
step 4 Rewrite the fraction 674/874 in the form of prime factors as like the below:
674/874= (2 x 337) / (2 x 19 x 23)
step 5 Check and reduce the factors of 674 and 874 if any factors in the numerator and denominator cancel each other:
= (2 x 337) / (2 x 19 x 23)
= ( 337)/( 19 x 23)
674/874 = 337/437
Hence,
674/874 in simplest form is 337/437.
674/874 simplified is 337/437, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 674/874 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 674/874 in its lowest terms.