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 927, 831, 29, 506 i.e. 1 largest integer that divides all the numbers equally.
GCD of 927, 831, 29, 506 is 1
GCD(927, 831, 29, 506) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 927, 831, 29, 506 is 1
GCD(927, 831, 29, 506) = 1
Given Input numbers are 927, 831, 29, 506
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 927
List of positive integer divisors of 927 that divides 927 without a remainder.
1, 3, 9, 103, 309, 927
Divisors of 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 506
List of positive integer divisors of 506 that divides 506 without a remainder.
1, 2, 11, 22, 23, 46, 253, 506
Greatest Common Divisior
We found the divisors of 927, 831, 29, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 927, 831, 29, 506 is 1.
Therefore, GCD of numbers 927, 831, 29, 506 is 1
Given Input Data is 927, 831, 29, 506
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 927 is 3 x 3 x 103
Prime Factorization of 831 is 3 x 277
Prime Factorization of 29 is 29
Prime Factorization of 506 is 2 x 11 x 23
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(927, 831) = 256779
GCD(927, 831) = ( 927 x 831 ) / 256779
GCD(927, 831) = 770337 / 256779
GCD(927, 831) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 29
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 29) = 87
GCD(3, 29) = ( 3 x 29 ) / 87
GCD(3, 29) = 87 / 87
GCD(3, 29) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 506
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 506) = 506
GCD(1, 506) = ( 1 x 506 ) / 506
GCD(1, 506) = 506 / 506
GCD(1, 506) = 1
GCD of 927, 831, 29, 506 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 927, 831, 29, 506?
GCD of 927, 831, 29, 506 is 1
2. Where do I get the detailed procedure to find GCD of 927, 831, 29, 506?
You can find a detailed procedure to find GCD of 927, 831, 29, 506 on our page.
3. How to find GCD of 927, 831, 29, 506 on a calculator?
You can find the GCD of 927, 831, 29, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.