423/507 Simplified

Learn how to find what is 423/507 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 423/507 in simplest form.

To reduce 423/507 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 423/507 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 423 and 507 is 3. Dividing both the numerator and denominator by GCF, the fraction 423/507 becomes 141/169 which is the simplest form.

423/507 Simplified as a Fraction
Using Factorization:
423/507 = (?)
423/507 = (3 x 3 x 47)/(3 x 13 x 13)      write 423/507 in terms of factors
= 141/169
423/507 = 141/169
423/507 simplified is 141/169

Using GCF
423/507 = (?)
GCF of 423 and 507 is 3.
423/507 = (423/3)/(507/3)
= 141/169
423/507 = 141/169
423/507 simplified is 141/169 in fraction form
where,
423/507 is the given fraction to be simplified,
141/169 is the lowest term of 423/507.

Notes: 423/507 simplified in lowest terms
1. 423/507 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 423 and 507 is 3 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 423/507 can be represented in its reduced form.
2. On the other hand, you can also reduce 423/507 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 423/507 becomes (3 x 3 x 47)/(3 x 13 x 13). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 423/507 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 423/507

what to be found:
423/507 = ?
Reduce 423/507 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 423/507.
Prime factors of 423 = 3 x 3 x 47

step 3 Find the prime factors of the denominator of given fraction 423/507.
Prime factors of 507 = 3 x 13 x 13

step 4 Rewrite the fraction 423/507 in the form of prime factors as like the below:
423/507= (3 x 3 x 47) / (3 x 13 x 13)

step 5 Check and reduce the factors of 423 and 507 if any factors in the numerator and denominator cancel each other:
= (3 x 3 x 47) / (3 x 13 x 13)
= ( 3 x 47)/( 13 x 13)
423/507 = 141/169
Hence,
423/507 in simplest form is 141/169.

423/507 simplified is 141/169, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 423/507 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 423/507 in its lowest terms.