372/380 Simplified

Learn how to find what is 372/380 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 372/380 in simplest form.

To reduce 372/380 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 372/380 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 372 and 380 is 4. Dividing both the numerator and denominator by GCF, the fraction 372/380 becomes 93/95 which is the simplest form.

372/380 Simplified as a Fraction
Using Factorization:
372/380 = (?)
372/380 = (2 x 2 x 3 x 31)/(2 x 2 x 5 x 19)      write 372/380 in terms of factors
= 93/95
372/380 = 93/95
372/380 simplified is 93/95

Using GCF
372/380 = (?)
GCF of 372 and 380 is 4.
372/380 = (372/4)/(380/4)
= 93/95
372/380 = 93/95
372/380 simplified is 93/95 in fraction form
where,
372/380 is the given fraction to be simplified,
93/95 is the lowest term of 372/380.

Notes: 372/380 simplified in lowest terms
1. 372/380 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 372 and 380 is 4 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 372/380 can be represented in its reduced form.
2. On the other hand, you can also reduce 372/380 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 372/380 becomes (2 x 2 x 3 x 31)/(2 x 2 x 5 x 19). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 372/380 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 372/380

what to be found:
372/380 = ?
Reduce 372/380 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 372/380.
Prime factors of 372 = 2 x 2 x 3 x 31

step 3 Find the prime factors of the denominator of given fraction 372/380.
Prime factors of 380 = 2 x 2 x 5 x 19

step 4 Rewrite the fraction 372/380 in the form of prime factors as like the below:
372/380= (2 x 2 x 3 x 31) / (2 x 2 x 5 x 19)

step 5 Check and reduce the factors of 372 and 380 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 3 x 31) / (2 x 2 x 5 x 19)
= ( 3 x 31)/( 5 x 19)
372/380 = 93/95
Hence,
372/380 in simplest form is 93/95.

372/380 simplified is 93/95, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 372/380 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 372/380 in its lowest terms.