393/420 Simplified

Learn how to find what is 393/420 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 393/420 in simplest form.

To reduce 393/420 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 393/420 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 393 and 420 is 3. Dividing both the numerator and denominator by GCF, the fraction 393/420 becomes 131/140 which is the simplest form.

393/420 Simplified as a Fraction
Using Factorization:
393/420 = (?)
393/420 = (3 x 131)/(2 x 2 x 3 x 5 x 7)      write 393/420 in terms of factors
= 131/140
393/420 = 131/140
393/420 simplified is 131/140

Using GCF
393/420 = (?)
GCF of 393 and 420 is 3.
393/420 = (393/3)/(420/3)
= 131/140
393/420 = 131/140
393/420 simplified is 131/140 in fraction form
where,
393/420 is the given fraction to be simplified,
131/140 is the lowest term of 393/420.

Notes: 393/420 simplified in lowest terms
1. 393/420 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 393 and 420 is 3 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 393/420 can be represented in its reduced form.
2. On the other hand, you can also reduce 393/420 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 393/420 becomes (3 x 131)/(2 x 2 x 3 x 5 x 7). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 393/420 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 393/420

what to be found:
393/420 = ?
Reduce 393/420 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 393/420.
Prime factors of 393 = 3 x 131

step 3 Find the prime factors of the denominator of given fraction 393/420.
Prime factors of 420 = 2 x 2 x 3 x 5 x 7

step 4 Rewrite the fraction 393/420 in the form of prime factors as like the below:
393/420= (3 x 131) / (2 x 2 x 3 x 5 x 7)

step 5 Check and reduce the factors of 393 and 420 if any factors in the numerator and denominator cancel each other:
= (3 x 131) / (2 x 2 x 3 x 5 x 7)
= ( 131)/(2 x 2 x 5 x 7)
393/420 = 131/140
Hence,
393/420 in simplest form is 131/140.

393/420 simplified is 131/140, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 393/420 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 393/420 in its lowest terms.