GCD of 584, 328, 10, 511 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 584, 328, 10, 511 i.e. 1 largest integer that divides all the numbers equally.

GCD of 584, 328, 10, 511 is 1

GCD(584, 328, 10, 511) = 1

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

GCD of

GCD of numbers 584, 328, 10, 511 is 1

GCD(584, 328, 10, 511) = 1

GCD of 584,328,10,511 Calculator

GCDof 584,328,10,511 is 1

Given Input numbers are 584, 328, 10, 511

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

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 511

List of positive integer divisors of 511 that divides 511 without a remainder.

1, 7, 73, 511

Greatest Common Divisior

We found the divisors of 584, 328, 10, 511 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 328, 10, 511 is 1.

Therefore, GCD of numbers 584, 328, 10, 511 is 1

Finding GCD of 584, 328, 10, 511 using Prime Factorization

Given Input Data is 584, 328, 10, 511

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

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 328 is 2 x 2 x 2 x 41

Prime Factorization of 10 is 2 x 5

Prime Factorization of 511 is 7 x 73

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

Finding GCD of 584, 328, 10, 511 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(584, 328) = 23944

GCD(584, 328) = ( 584 x 328 ) / 23944

GCD(584, 328) = 191552 / 23944

GCD(584, 328) = 8


Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 10

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

LCM(8, 10) = 40

GCD(8, 10) = ( 8 x 10 ) / 40

GCD(8, 10) = 80 / 40

GCD(8, 10) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 511

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

LCM(2, 511) = 1022

GCD(2, 511) = ( 2 x 511 ) / 1022

GCD(2, 511) = 1022 / 1022

GCD(2, 511) = 1

GCD of 584, 328, 10, 511 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 584, 328, 10, 511

1. What is the GCD of 584, 328, 10, 511?

GCD of 584, 328, 10, 511 is 1


2. Where do I get the detailed procedure to find GCD of 584, 328, 10, 511?

You can find a detailed procedure to find GCD of 584, 328, 10, 511 on our page.


3. How to find GCD of 584, 328, 10, 511 on a calculator?

You can find the GCD of 584, 328, 10, 511 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.