681/180 Simplified

Learn how to find what is 681/180 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 681/180 in simplest form.

To reduce 681/180 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 681/180 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 681 and 180 is 3. Dividing both the numerator and denominator by GCF, the fraction 681/180 becomes 227/60 which is the simplest form.

681/180 Simplified as a Fraction
Using Factorization:
681/180 = (?)
681/180 = (3 x 227)/(2 x 2 x 3 x 3 x 5)      write 681/180 in terms of factors
= 227/60
681/180 = 227/60
681/180 simplified is 227/60

Using GCF
681/180 = (?)
GCF of 681 and 180 is 3.
681/180 = (681/3)/(180/3)
= 227/60
681/180 = 227/60
681/180 simplified is 227/60 in fraction form
where,
681/180 is the given fraction to be simplified,
227/60 is the lowest term of 681/180.

Notes: 681/180 simplified in lowest terms
1. 681/180 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 681 and 180 is 3 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 681/180 can be represented in its reduced form.
2. On the other hand, you can also reduce 681/180 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 681/180 becomes (3 x 227)/(2 x 2 x 3 x 3 x 5). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 681/180 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 681/180

what to be found:
681/180 = ?
Reduce 681/180 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 681/180.
Prime factors of 681 = 3 x 227

step 3 Find the prime factors of the denominator of given fraction 681/180.
Prime factors of 180 = 2 x 2 x 3 x 3 x 5

step 4 Rewrite the fraction 681/180 in the form of prime factors as like the below:
681/180= (3 x 227) / (2 x 2 x 3 x 3 x 5)

step 5 Check and reduce the factors of 681 and 180 if any factors in the numerator and denominator cancel each other:
= (3 x 227) / (2 x 2 x 3 x 3 x 5)
= ( 227)/(2 x 2 x 3 x 5)
681/180 = 227/60
Hence,
681/180 in simplest form is 227/60.

681/180 simplified is 227/60, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 681/180 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 681/180 in its lowest terms.