340/210 Simplified

Learn how to find what is 340/210 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 340/210 in simplest form.

To reduce 340/210 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 340/210 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 340 and 210 is 10. Dividing both the numerator and denominator by GCF, the fraction 340/210 becomes 34/21 which is the simplest form.

340/210 Simplified as a Fraction
Using Factorization:
340/210 = (?)
340/210 = (2 x 2 x 5 x 17)/(2 x 3 x 5 x 7)      write 340/210 in terms of factors
= 34/21
340/210 = 34/21
340/210 simplified is 34/21

Using GCF
340/210 = (?)
GCF of 340 and 210 is 10.
340/210 = (340/10)/(210/10)
= 34/21
340/210 = 34/21
340/210 simplified is 34/21 in fraction form
where,
340/210 is the given fraction to be simplified,
34/21 is the lowest term of 340/210.

Notes: 340/210 simplified in lowest terms
1. 340/210 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 340 and 210 is 10 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 340/210 can be represented in its reduced form.
2. On the other hand, you can also reduce 340/210 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 340/210 becomes (2 x 2 x 5 x 17)/(2 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 340/210 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 340/210

what to be found:
340/210 = ?
Reduce 340/210 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 340/210.
Prime factors of 340 = 2 x 2 x 5 x 17

step 3 Find the prime factors of the denominator of given fraction 340/210.
Prime factors of 210 = 2 x 3 x 5 x 7

step 4 Rewrite the fraction 340/210 in the form of prime factors as like the below:
340/210= (2 x 2 x 5 x 17) / (2 x 3 x 5 x 7)

step 5 Check and reduce the factors of 340 and 210 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 5 x 17) / (2 x 3 x 5 x 7)
= ( 2 x 17)/( 3 x 7)
340/210 = 34/21
Hence,
340/210 in simplest form is 34/21.

340/210 simplified is 34/21, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 340/210 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 340/210 in its lowest terms.