3318/3360 Simplified

Learn how to find what is 3318/3360 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 3318/3360 in simplest form.

To simplify 3318/3360 in its lowest terms, you must be familiar with either how to find the greatest common divisor or prime factors. Both of these methods are used to recognize if 3318/3360 can be reduced in simplest form. In this case, the greatest common divisor of 3318 and 3360 is 42. Dividing both the numerator and denominator by GCD, the fraction 3318/3360 becomes 79/80 which is the simplest form.

Simplify 3318/3360 as a Fraction
Using Factorization:
3318/3360 = (?)
3318/3360 = (2 x 3 x 7 x 79)/(2 x 2 x 2 x 2 x 2 x 3 x 5 x 7)      //write 3318/3360 in terms of factors
= 79/80
3318/3360 = 79/80
3318/3360 simplified is 79/80

Using GCD:
3318/3360 = (?)
GCD of 3318 and 3360 is 42.
3318/3360 = (3318/42)/(3360/42)
= 79/80
3318/3360 = 79/80
3318/3360 simplified is 79/80 in fraction form
where,
3318/3360 is the given fraction to be simplified,
79/80 is the lowest term of 3318/3360.

Notes: Simplify 3318/3360 in lowest terms
1. 3318/3360 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 3318 and 3360 is 42 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 3318/3360 can be represented in its reduced form.
2. On the other hand, you can also reduce 3318/3360 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 3318/3360 becomes (2 x 3 x 7 x 79)/(2 x 2 x 2 x 2 x 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 3318/3360 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 3318/3360

what to be found:
3318/3360 = ?
Simplify 3318/3360 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 3318/3360.
Prime factors of 3318 = 2 x 3 x 7 x 79

step 3 Find the prime factors of the denominator of given fraction 3318/3360.
Prime factors of 3360 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7

step 4 Rewrite the fraction 3318/3360 in the form of prime factors as like the below:
3318/3360= (2 x 3 x 7 x 79) / (2 x 2 x 2 x 2 x 2 x 3 x 5 x 7)

step 5 Check and reduce the factors of 3318 and 3360 if any factors in the numerator and denominator cancel each other:
= (2 x 3 x 7 x 79) / (2 x 2 x 2 x 2 x 2 x 3 x 5 x 7)
= ( 79)/( 2 x 2 x 2 x 2 x 5 )
3318/3360 = 79/80

Hence,
3318/3360 in simplest form is 79/80.

Representing fraction 3318/3360 in lowest terms is a better way than its original form to easily recognize the fraction or use in mathematical operations. Simplify fraction involves finding the greatest common factor or factorization. Recognizing the GCD or prime factors of numerator and denominator of a fraction is key when you start reducing fractions like 3318/3360 in its lowest terms.