123/234 Simplified

Learn how to find what is 123/234 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 123/234 in simplest form.

To reduce 123/234 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 123/234 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 123 and 234 is 3. Dividing both the numerator and denominator by GCF, the fraction 123/234 becomes 41/78 which is the simplest form.

123/234 Simplified as a Fraction
Using Factorization:
123/234 = (?)
123/234 = (3 x 41)/(2 x 3 x 3 x 13)      write 123/234 in terms of factors
= 41/78
123/234 = 41/78
123/234 simplified is 41/78

Using GCF
123/234 = (?)
GCF of 123 and 234 is 3.
123/234 = (123/3)/(234/3)
= 41/78
123/234 = 41/78
123/234 simplified is 41/78 in fraction form
where,
123/234 is the given fraction to be simplified,
41/78 is the lowest term of 123/234.

Notes: 123/234 simplified in lowest terms
1. 123/234 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 123 and 234 is 3 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 123/234 can be represented in its reduced form.
2. On the other hand, you can also reduce 123/234 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 123/234 becomes (3 x 41)/(2 x 3 x 3 x 13). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 123/234 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 123/234

what to be found:
123/234 = ?
Reduce 123/234 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 123/234.
Prime factors of 123 = 3 x 41

step 3 Find the prime factors of the denominator of given fraction 123/234.
Prime factors of 234 = 2 x 3 x 3 x 13

step 4 Rewrite the fraction 123/234 in the form of prime factors as like the below:
123/234= (3 x 41) / (2 x 3 x 3 x 13)

step 5 Check and reduce the factors of 123 and 234 if any factors in the numerator and denominator cancel each other:
= (3 x 41) / (2 x 3 x 3 x 13)
= ( 41)/(2 x 3 x 13)
123/234 = 41/78
Hence,
123/234 in simplest form is 41/78.

123/234 simplified is 41/78, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 123/234 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 123/234 in its lowest terms.