372/504 Simplified

Learn how to find what is 372/504 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 372/504 in simplest form.

To reduce 372/504 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 372/504 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 372 and 504 is 12. Dividing both the numerator and denominator by GCF, the fraction 372/504 becomes 31/42 which is the simplest form.

372/504 Simplified as a Fraction
Using Factorization:
372/504 = (?)
372/504 = (2 x 2 x 3 x 31)/(2 x 2 x 2 x 3 x 3 x 7)      write 372/504 in terms of factors
= 31/42
372/504 = 31/42
372/504 simplified is 31/42

Using GCF
372/504 = (?)
GCF of 372 and 504 is 12.
372/504 = (372/12)/(504/12)
= 31/42
372/504 = 31/42
372/504 simplified is 31/42 in fraction form
where,
372/504 is the given fraction to be simplified,
31/42 is the lowest term of 372/504.

Notes: 372/504 simplified in lowest terms
1. 372/504 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 372 and 504 is 12 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 372/504 can be represented in its reduced form.
2. On the other hand, you can also reduce 372/504 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 372/504 becomes (2 x 2 x 3 x 31)/(2 x 2 x 2 x 3 x 3 x 7). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 372/504 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 372/504

what to be found:
372/504 = ?
Reduce 372/504 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 372/504.
Prime factors of 372 = 2 x 2 x 3 x 31

step 3 Find the prime factors of the denominator of given fraction 372/504.
Prime factors of 504 = 2 x 2 x 2 x 3 x 3 x 7

step 4 Rewrite the fraction 372/504 in the form of prime factors as like the below:
372/504= (2 x 2 x 3 x 31) / (2 x 2 x 2 x 3 x 3 x 7)

step 5 Check and reduce the factors of 372 and 504 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 3 x 31) / (2 x 2 x 2 x 3 x 3 x 7)
= ( 31)/( 2 x 3 x 7)
372/504 = 31/42
Hence,
372/504 in simplest form is 31/42.

372/504 simplified is 31/42, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 372/504 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 372/504 in its lowest terms.