GCD of 506, 929, 36, 804 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 506, 929, 36, 804 i.e. 1 largest integer that divides all the numbers equally.

GCD of 506, 929, 36, 804 is 1

GCD(506, 929, 36, 804) = 1

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

GCD of

GCD of numbers 506, 929, 36, 804 is 1

GCD(506, 929, 36, 804) = 1

GCD of 506,929,36,804 Calculator

GCDof 506,929,36,804 is 1

Given Input numbers are 506, 929, 36, 804

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 929

List of positive integer divisors of 929 that divides 929 without a remainder.

1, 929

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

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

Greatest Common Divisior

We found the divisors of 506, 929, 36, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 929, 36, 804 is 1.

Therefore, GCD of numbers 506, 929, 36, 804 is 1

Finding GCD of 506, 929, 36, 804 using Prime Factorization

Given Input Data is 506, 929, 36, 804

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 929 is 929

Prime Factorization of 36 is 2 x 2 x 3 x 3

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

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

Finding GCD of 506, 929, 36, 804 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(506, 929) = 470074

GCD(506, 929) = ( 506 x 929 ) / 470074

GCD(506, 929) = 470074 / 470074

GCD(506, 929) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 804

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

LCM(1, 804) = 804

GCD(1, 804) = ( 1 x 804 ) / 804

GCD(1, 804) = 804 / 804

GCD(1, 804) = 1

GCD of 506, 929, 36, 804 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 506, 929, 36, 804

1. What is the GCD of 506, 929, 36, 804?

GCD of 506, 929, 36, 804 is 1


2. Where do I get the detailed procedure to find GCD of 506, 929, 36, 804?

You can find a detailed procedure to find GCD of 506, 929, 36, 804 on our page.


3. How to find GCD of 506, 929, 36, 804 on a calculator?

You can find the GCD of 506, 929, 36, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.