690/196 Simplified

Learn how to find what is 690/196 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 690/196 in simplest form.

To reduce 690/196 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 690/196 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 690 and 196 is 2. Dividing both the numerator and denominator by GCF, the fraction 690/196 becomes 345/98 which is the simplest form.

690/196 Simplified as a Fraction
Using Factorization:
690/196 = (?)
690/196 = (2 x 3 x 5 x 23)/(2 x 2 x 7 x 7)      write 690/196 in terms of factors
= 345/98
690/196 = 345/98
690/196 simplified is 345/98

Using GCF
690/196 = (?)
GCF of 690 and 196 is 2.
690/196 = (690/2)/(196/2)
= 345/98
690/196 = 345/98
690/196 simplified is 345/98 in fraction form
where,
690/196 is the given fraction to be simplified,
345/98 is the lowest term of 690/196.

Notes: 690/196 simplified in lowest terms
1. 690/196 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 690 and 196 is 2 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 690/196 can be represented in its reduced form.
2. On the other hand, you can also reduce 690/196 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 690/196 becomes (2 x 3 x 5 x 23)/(2 x 2 x 7 x 7). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 690/196 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 690/196

what to be found:
690/196 = ?
Reduce 690/196 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 690/196.
Prime factors of 690 = 2 x 3 x 5 x 23

step 3 Find the prime factors of the denominator of given fraction 690/196.
Prime factors of 196 = 2 x 2 x 7 x 7

step 4 Rewrite the fraction 690/196 in the form of prime factors as like the below:
690/196= (2 x 3 x 5 x 23) / (2 x 2 x 7 x 7)

step 5 Check and reduce the factors of 690 and 196 if any factors in the numerator and denominator cancel each other:
= (2 x 3 x 5 x 23) / (2 x 2 x 7 x 7)
= ( 3 x 5 x 23)/( 2 x 7 x 7)
690/196 = 345/98
Hence,
690/196 in simplest form is 345/98.

690/196 simplified is 345/98, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 690/196 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 690/196 in its lowest terms.