371/7 Simplified

Learn how to find what is 371/7 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 371/7 in simplest form.

To reduce 371/7 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 371/7 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 371 and 7 is 7. Dividing both the numerator and denominator by GCF, the fraction 371/7 becomes 53/1 which is the simplest form.

371/7 Simplified as a Fraction
Using Factorization:
371/7 = (?)
371/7 = (7 x 53)/(7)      write 371/7 in terms of factors
= 53/1
371/7 = 53/1
371/7 simplified is 53/1

Using GCF
371/7 = (?)
GCF of 371 and 7 is 7.
371/7 = (371/7)/(7/7)
= 53/1
371/7 = 53/1
371/7 simplified is 53/1 in fraction form
where,
371/7 is the given fraction to be simplified,
53/1 is the lowest term of 371/7.

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

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 371/7

what to be found:
371/7 = ?
Reduce 371/7 in lowest terms.

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

step 3 Find the prime factors of the denominator of given fraction 371/7.
Prime factors of 7 = 7

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

step 5 Check and reduce the factors of 371 and 7 if any factors in the numerator and denominator cancel each other:
= (7 x 53) / (7)
= ( 53)/(1)
371/7 = 53/1
Hence,
371/7 in simplest form is 53/1.

371/7 simplified is 53/1, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 371/7 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 371/7 in its lowest terms.