735/423 Simplified

Learn how to find what is 735/423 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 735/423 in simplest form.

To reduce 735/423 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 735/423 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 735 and 423 is 3. Dividing both the numerator and denominator by GCF, the fraction 735/423 becomes 245/141 which is the simplest form.

735/423 Simplified as a Fraction
Using Factorization:
735/423 = (?)
735/423 = (3 x 5 x 7 x 7)/(3 x 3 x 47)      write 735/423 in terms of factors
= 245/141
735/423 = 245/141
735/423 simplified is 245/141

Using GCF
735/423 = (?)
GCF of 735 and 423 is 3.
735/423 = (735/3)/(423/3)
= 245/141
735/423 = 245/141
735/423 simplified is 245/141 in fraction form
where,
735/423 is the given fraction to be simplified,
245/141 is the lowest term of 735/423.

Notes: 735/423 simplified in lowest terms
1. 735/423 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 735 and 423 is 3 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 735/423 can be represented in its reduced form.
2. On the other hand, you can also reduce 735/423 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 735/423 becomes (3 x 5 x 7 x 7)/(3 x 3 x 47). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 735/423 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 735/423

what to be found:
735/423 = ?
Reduce 735/423 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 735/423.
Prime factors of 735 = 3 x 5 x 7 x 7

step 3 Find the prime factors of the denominator of given fraction 735/423.
Prime factors of 423 = 3 x 3 x 47

step 4 Rewrite the fraction 735/423 in the form of prime factors as like the below:
735/423= (3 x 5 x 7 x 7) / (3 x 3 x 47)

step 5 Check and reduce the factors of 735 and 423 if any factors in the numerator and denominator cancel each other:
= (3 x 5 x 7 x 7) / (3 x 3 x 47)
= ( 5 x 7 x 7)/( 3 x 47)
735/423 = 245/141
Hence,
735/423 in simplest form is 245/141.

735/423 simplified is 245/141, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 735/423 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 735/423 in its lowest terms.