238/357 Simplified

Learn how to find what is 238/357 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 238/357 in simplest form.

To reduce 238/357 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 238/357 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 238 and 357 is 119. Dividing both the numerator and denominator by GCF, the fraction 238/357 becomes 2/3 which is the simplest form.

238/357 Simplified as a Fraction
Using Factorization:
238/357 = (?)
238/357 = (2 x 7 x 17)/(3 x 7 x 17)      write 238/357 in terms of factors
= 2/3
238/357 = 2/3
238/357 simplified is 2/3

Using GCF
238/357 = (?)
GCF of 238 and 357 is 119.
238/357 = (238/119)/(357/119)
= 2/3
238/357 = 2/3
238/357 simplified is 2/3 in fraction form
where,
238/357 is the given fraction to be simplified,
2/3 is the lowest term of 238/357.

Notes: 238/357 simplified in lowest terms
1. 238/357 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 238 and 357 is 119 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 238/357 can be represented in its reduced form.
2. On the other hand, you can also reduce 238/357 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 238/357 becomes (2 x 7 x 17)/(3 x 7 x 17). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 238/357 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 238/357

what to be found:
238/357 = ?
Reduce 238/357 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 238/357.
Prime factors of 238 = 2 x 7 x 17

step 3 Find the prime factors of the denominator of given fraction 238/357.
Prime factors of 357 = 3 x 7 x 17

step 4 Rewrite the fraction 238/357 in the form of prime factors as like the below:
238/357= (2 x 7 x 17) / (3 x 7 x 17)

step 5 Check and reduce the factors of 238 and 357 if any factors in the numerator and denominator cancel each other:
= (2 x 7 x 17) / (3 x 7 x 17)
= (2 )/(3 )
238/357 = 2/3
Hence,
238/357 in simplest form is 2/3.

238/357 simplified is 2/3, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 238/357 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 238/357 in its lowest terms.