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 numbers 506, 929, 36, 804 is 1
GCD(506, 929, 36, 804) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.