GCD of 804, 464, 33, 320 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 804, 464, 33, 320 i.e. 1 largest integer that divides all the numbers equally.

GCD of 804, 464, 33, 320 is 1

GCD(804, 464, 33, 320) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 804, 464, 33, 320 is 1

GCD(804, 464, 33, 320) = 1

GCD of 804,464,33,320 Calculator

GCDof 804,464,33,320 is 1

Given Input numbers are 804, 464, 33, 320

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Greatest Common Divisior

We found the divisors of 804, 464, 33, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 464, 33, 320 is 1.

Therefore, GCD of numbers 804, 464, 33, 320 is 1

Finding GCD of 804, 464, 33, 320 using Prime Factorization

Given Input Data is 804, 464, 33, 320

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 33 is 3 x 11

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 804, 464, 33, 320 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(804, 464) = 93264

GCD(804, 464) = ( 804 x 464 ) / 93264

GCD(804, 464) = 373056 / 93264

GCD(804, 464) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 33

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 33) = 132

GCD(4, 33) = ( 4 x 33 ) / 132

GCD(4, 33) = 132 / 132

GCD(4, 33) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1

GCD of 804, 464, 33, 320 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 804, 464, 33, 320

1. What is the GCD of 804, 464, 33, 320?

GCD of 804, 464, 33, 320 is 1


2. Where do I get the detailed procedure to find GCD of 804, 464, 33, 320?

You can find a detailed procedure to find GCD of 804, 464, 33, 320 on our page.


3. How to find GCD of 804, 464, 33, 320 on a calculator?

You can find the GCD of 804, 464, 33, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.