420/4 Simplified

Learn how to find what is 420/4 simplified as a fraction just in a few minutes. We have covered why the GCF or factorization is important to simplify 420/4 in simplest form.

To reduce 420/4 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 420/4 can be reduced in simplest form. In this case, the (greatest common factor) GDF of 420 and 4 is 4. Dividing both the numerator and denominator by GCF, the fraction 420/4 becomes 105/1 which is the simplest form.

420/4 Simplified as a Fraction
Using Factorization:
420/4 = (?)
420/4 = (2 x 2 x 3 x 5 x 7)/(2 x 2)      write 420/4 in terms of factors
= 105/1
420/4 = 105/1
420/4 simplified is 105/1

Using GCF
420/4 = (?)
GCF of 420 and 4 is 4.
420/4 = (420/4)/(4/4)
= 105/1
420/4 = 105/1
420/4 simplified is 105/1 in fraction form
where,
420/4 is the given fraction to be simplified,
105/1 is the lowest term of 420/4.

Notes: 420/4 simplified in lowest terms
1. 420/4 can be simplified only if the GCF of numerator and denominator is greater than 1. In this case, the GCF of 420 and 4 is 4 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 420/4 can be represented in its reduced form.
2. On the other hand, you can also reduce 420/4 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 420/4 becomes (2 x 2 x 3 x 5 x 7)/(2 x 2). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 420/4 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 420/4

what to be found:
420/4 = ?
Reduce 420/4 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 420/4.
Prime factors of 420 = 2 x 2 x 3 x 5 x 7

step 3 Find the prime factors of the denominator of given fraction 420/4.
Prime factors of 4 = 2 x 2

step 4 Rewrite the fraction 420/4 in the form of prime factors as like the below:
420/4= (2 x 2 x 3 x 5 x 7) / (2 x 2)

step 5 Check and reduce the factors of 420 and 4 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 3 x 5 x 7) / (2 x 2)
= ( 3 x 5 x 7)/(1)
420/4 = 105/1
Hence,
420/4 in simplest form is 105/1.

420/4 simplified is 105/1, representing fraction in lowest terms is a better way than its original form, to easily recognize the fraction or use in mathematical operations. Simplifying 420/4 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 420/4 in its lowest terms.