What is 314/337 simplified as a fraction?
314/337 in simplest form is 314/337.
Learn how to find what is 314/337 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 314/337 in simplest form.
To reduce 314/337 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 314/337 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 314 and 337 is 1. Dividing both the numerator and denominator by GCF, the fraction 314/337 becomes 314/337 which is the simplest form.
314/337 Simplified as a Fraction
Using Factorization:
314/337 = (?)
314/337 = (2 x 157)/(337) write 314/337 in terms of factors
= 314/337
314/337 = 314/337
314/337 simplified is 314/337
Using GCF
314/337 = (?)
GCF of 314 and 337 is 1.
314/337 = (314/1)/(337/1)
= 314/337
314/337 = 314/337
314/337 simplified is 314/337 in fraction form
Notes: 314/337 simplified in lowest terms
1. 314/337 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 314 and 337 is 1 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 314/337 can be represented in its reduced form.
2. On the other hand, you can also reduce 314/337 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 314/337 becomes (2 x 157)/(337). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 314/337 in its lowest terms.
step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 314/337
what to be found:
314/337 = ?
Reduce 314/337 in lowest terms.
step 2 Find the prime factors of the numerator of given fraction 314/337.
Prime factors of 314 = 2 x 157
step 3 Find the prime factors of the denominator of given fraction 314/337.
Prime factors of 337 = 337
step 4 Rewrite the fraction 314/337 in the form of prime factors as like the below:
314/337= (2 x 157) / (337)
step 5 The given fraction 314/337 can't be simplified further, because the denominator 337 of the given fraction is a prime number and not the factor of numerator 314.
Hence,
314/337 simplest form is 314/337.
314/337 simplified is 314/337, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 314/337 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 314/337 in its lowest terms.