GCD of 821, 561, 33, 507 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, 561, 33, 507 i.e. 1 largest integer that divides all the numbers equally.

GCD of 821, 561, 33, 507 is 1

GCD(821, 561, 33, 507) = 1

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

GCD of

GCD of numbers 821, 561, 33, 507 is 1

GCD(821, 561, 33, 507) = 1

GCD of 821,561,33,507 Calculator

GCDof 821,561,33,507 is 1

Given Input numbers are 821, 561, 33, 507

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 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 33

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

1, 3, 11, 33

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Greatest Common Divisior

We found the divisors of 821, 561, 33, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 561, 33, 507 is 1.

Therefore, GCD of numbers 821, 561, 33, 507 is 1

Finding GCD of 821, 561, 33, 507 using Prime Factorization

Given Input Data is 821, 561, 33, 507

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

Prime Factorization of 821 is 821

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 33 is 3 x 11

Prime Factorization of 507 is 3 x 13 x 13

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

Finding GCD of 821, 561, 33, 507 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, 561) = 460581

GCD(821, 561) = ( 821 x 561 ) / 460581

GCD(821, 561) = 460581 / 460581

GCD(821, 561) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 33

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

LCM(1, 33) = 33

GCD(1, 33) = ( 1 x 33 ) / 33

GCD(1, 33) = 33 / 33

GCD(1, 33) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 507

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

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

GCD(1, 507) = 507 / 507

GCD(1, 507) = 1

GCD of 821, 561, 33, 507 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 821, 561, 33, 507

1. What is the GCD of 821, 561, 33, 507?

GCD of 821, 561, 33, 507 is 1


2. Where do I get the detailed procedure to find GCD of 821, 561, 33, 507?

You can find a detailed procedure to find GCD of 821, 561, 33, 507 on our page.


3. How to find GCD of 821, 561, 33, 507 on a calculator?

You can find the GCD of 821, 561, 33, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.