GCD of 821, 501, 28, 867 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 821, 501, 28, 867 i.e. 1 largest integer that divides all the numbers equally.

GCD of 821, 501, 28, 867 is 1

GCD(821, 501, 28, 867) = 1

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

GCD of

GCD of numbers 821, 501, 28, 867 is 1

GCD(821, 501, 28, 867) = 1

GCD of 821,501,28,867 Calculator

GCDof 821,501,28,867 is 1

Given Input numbers are 821, 501, 28, 867

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

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Greatest Common Divisior

We found the divisors of 821, 501, 28, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 501, 28, 867 is 1.

Therefore, GCD of numbers 821, 501, 28, 867 is 1

Finding GCD of 821, 501, 28, 867 using Prime Factorization

Given Input Data is 821, 501, 28, 867

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

Prime Factorization of 821 is 821

Prime Factorization of 501 is 3 x 167

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 867 is 3 x 17 x 17

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

Finding GCD of 821, 501, 28, 867 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(821, 501) = 411321

GCD(821, 501) = ( 821 x 501 ) / 411321

GCD(821, 501) = 411321 / 411321

GCD(821, 501) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 867

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

LCM(1, 867) = 867

GCD(1, 867) = ( 1 x 867 ) / 867

GCD(1, 867) = 867 / 867

GCD(1, 867) = 1

GCD of 821, 501, 28, 867 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 821, 501, 28, 867

1. What is the GCD of 821, 501, 28, 867?

GCD of 821, 501, 28, 867 is 1


2. Where do I get the detailed procedure to find GCD of 821, 501, 28, 867?

You can find a detailed procedure to find GCD of 821, 501, 28, 867 on our page.


3. How to find GCD of 821, 501, 28, 867 on a calculator?

You can find the GCD of 821, 501, 28, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.