4425/1680 Simplified

Learn how to find what is 4425/1680 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 4425/1680 in simplest form.

To simplify 4425/1680 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 4425/1680 can be reduced in simplest form. In this case, the greatest common divisor of 4425 and 1680 is 15. Dividing both the numerator and denominator by GCD, the fraction 4425/1680 becomes 295/112 which is the simplest form.

Simplify 4425/1680 as a Fraction
Using Factorization:
4425/1680 = (?)
4425/1680 = (3 x 5 x 5 x 59)/(2 x 2 x 2 x 2 x 3 x 5 x 7)      //write 4425/1680 in terms of factors
= 295/112
4425/1680 = 295/112
4425/1680 simplified is 295/112

Using GCD:
4425/1680 = (?)
GCD of 4425 and 1680 is 15.
4425/1680 = (4425/15)/(1680/15)
= 295/112
4425/1680 = 295/112
4425/1680 simplified is 295/112 in fraction form
where,
4425/1680 is the given fraction to be simplified,
295/112 is the lowest term of 4425/1680.

Notes: Simplify 4425/1680 in lowest terms
1. 4425/1680 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 4425 and 1680 is 15 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 4425/1680 can be represented in its reduced form.
2. On the other hand, you can also reduce 4425/1680 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 4425/1680 becomes (3 x 5 x 5 x 59)/(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 4425/1680 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 4425/1680

what to be found:
4425/1680 = ?
Simplify 4425/1680 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 4425/1680.
Prime factors of 4425 = 3 x 5 x 5 x 59

step 3 Find the prime factors of the denominator of given fraction 4425/1680.
Prime factors of 1680 = 2 x 2 x 2 x 2 x 3 x 5 x 7

step 4 Rewrite the fraction 4425/1680 in the form of prime factors as like the below:
4425/1680= (3 x 5 x 5 x 59) / (2 x 2 x 2 x 2 x 3 x 5 x 7)

step 5 Check and reduce the factors of 4425 and 1680 if any factors in the numerator and denominator cancel each other:
= (3 x 5 x 5 x 59) / (2 x 2 x 2 x 2 x 3 x 5 x 7)
= ( 5 x 59)/(2 x 2 x 2 x 2 x 7)
4425/1680 = 295/112

Hence,
4425/1680 in simplest form is 295/112.

Representing fraction 4425/1680 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 4425/1680 in its lowest terms.