423/630 Simplified

Learn how to find what is 423/630 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 423/630 in simplest form.

To reduce 423/630 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 423/630 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 423 and 630 is 9. Dividing both the numerator and denominator by GCF, the fraction 423/630 becomes 47/70 which is the simplest form.

423/630 Simplified as a Fraction
Using Factorization:
423/630 = (?)
423/630 = (3 x 3 x 47)/(2 x 3 x 3 x 5 x 7)      write 423/630 in terms of factors
= 47/70
423/630 = 47/70
423/630 simplified is 47/70

Using GCF
423/630 = (?)
GCF of 423 and 630 is 9.
423/630 = (423/9)/(630/9)
= 47/70
423/630 = 47/70
423/630 simplified is 47/70 in fraction form
where,
423/630 is the given fraction to be simplified,
47/70 is the lowest term of 423/630.

Notes: 423/630 simplified in lowest terms
1. 423/630 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 423 and 630 is 9 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 423/630 can be represented in its reduced form.
2. On the other hand, you can also reduce 423/630 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 423/630 becomes (3 x 3 x 47)/(2 x 3 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 423/630 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 423/630

what to be found:
423/630 = ?
Reduce 423/630 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 423/630.
Prime factors of 423 = 3 x 3 x 47

step 3 Find the prime factors of the denominator of given fraction 423/630.
Prime factors of 630 = 2 x 3 x 3 x 5 x 7

step 4 Rewrite the fraction 423/630 in the form of prime factors as like the below:
423/630= (3 x 3 x 47) / (2 x 3 x 3 x 5 x 7)

step 5 Check and reduce the factors of 423 and 630 if any factors in the numerator and denominator cancel each other:
= (3 x 3 x 47) / (2 x 3 x 3 x 5 x 7)
= ( 47)/(2 x 5 x 7)
423/630 = 47/70
Hence,
423/630 in simplest form is 47/70.

423/630 simplified is 47/70, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 423/630 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 423/630 in its lowest terms.