371/424 Simplified

Learn how to find what is 371/424 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 371/424 in simplest form.

To simplify 371/424 in its lowest terms, you must be familiar with either how to find the greatest common divisor or prime factors. Both of these methods are used to recognize if 371/424 can be reduced in simplest form. In this case, the greatest common divisor of 371 and 424 is 53. Dividing both the numerator and denominator by GCD, the fraction 371/424 becomes 7/8 which is the simplest form.

Simplify 371/424 as a Fraction
Using Factorization:
371/424 = (?)
371/424 = (7 x 53)/(2 x 2 x 2 x 53)      //write 371/424 in terms of factors
= 7/8
371/424 = 7/8
371/424 simplified is 7/8

Using GCD:
371/424 = (?)
GCD of 371 and 424 is 53.
371/424 = (371/53)/(424/53)
= 7/8
371/424 = 7/8
371/424 simplified is 7/8 in fraction form
where,
371/424 is the given fraction to be simplified,
7/8 is the lowest term of 371/424.

Notes: Simplify 371/424 in lowest terms
1. 371/424 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 371 and 424 is 53 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 371/424 can be represented in its reduced form.
2. On the other hand, you can also reduce 371/424 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 371/424 becomes (7 x 53)/(2 x 2 x 2 x 53). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 371/424 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 371/424

what to be found:
371/424 = ?
Simplify 371/424 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 371/424.
Prime factors of 371 = 7 x 53

step 3 Find the prime factors of the denominator of given fraction 371/424.
Prime factors of 424 = 2 x 2 x 2 x 53

step 4 Rewrite the fraction 371/424 in the form of prime factors as like the below:
371/424= (7 x 53) / (2 x 2 x 2 x 53)

step 5 Check and reduce the factors of 371 and 424 if any factors in the numerator and denominator cancel each other:
= (7 x 53) / (2 x 2 x 2 x 53)
= (7 )/(2 x 2 x 2 )
371/424 = 7/8

Hence,
371/424 in simplest form is 7/8.

Representing fraction 371/424 in lowest terms is a better way than its original form to easily recognize the fraction or use in mathematical operations. Simplify fraction involves finding the greatest common factor or factorization. Recognizing the GCD or prime factors of numerator and denominator of a fraction is key when you start reducing fractions like 371/424 in its lowest terms.