34/204 Simplified

Learn how to find what is 34/204 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 34/204 in simplest form.

To reduce 34/204 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 34/204 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 34 and 204 is 34. Dividing both the numerator and denominator by GCF, the fraction 34/204 becomes 1/6 which is the simplest form.

34/204 Simplified as a Fraction
Using Factorization:
34/204 = (?)
34/204 = (2 x 17)/(2 x 2 x 3 x 17)      write 34/204 in terms of factors
= 1/6
34/204 = 1/6
34/204 simplified is 1/6

Using GCF
34/204 = (?)
GCF of 34 and 204 is 34.
34/204 = (34/34)/(204/34)
= 1/6
34/204 = 1/6
34/204 simplified is 1/6 in fraction form
where,
34/204 is the given fraction to be simplified,
1/6 is the lowest term of 34/204.

Notes: 34/204 simplified in lowest terms
1. 34/204 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 34 and 204 is 34 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 34/204 can be represented in its reduced form.
2. On the other hand, you can also reduce 34/204 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 34/204 becomes (2 x 17)/(2 x 2 x 3 x 17). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 34/204 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 34/204

what to be found:
34/204 = ?
Reduce 34/204 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 34/204.
Prime factors of 34 = 2 x 17

step 3 Find the prime factors of the denominator of given fraction 34/204.
Prime factors of 204 = 2 x 2 x 3 x 17

step 4 Rewrite the fraction 34/204 in the form of prime factors as like the below:
34/204= (2 x 17) / (2 x 2 x 3 x 17)

step 5 Check and reduce the factors of 34 and 204 if any factors in the numerator and denominator cancel each other:
= (2 x 17) / (2 x 2 x 3 x 17)
= (1)/( 2 x 3 )
34/204 = 1/6
Hence,
34/204 in simplest form is 1/6.

34/204 simplified is 1/6, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 34/204 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 34/204 in its lowest terms.