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 824, 108, 26, 631 i.e. 1 largest integer that divides all the numbers equally.
GCD of 824, 108, 26, 631 is 1
GCD(824, 108, 26, 631) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 824, 108, 26, 631 is 1
GCD(824, 108, 26, 631) = 1
Given Input numbers are 824, 108, 26, 631
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
Divisors of 631
List of positive integer divisors of 631 that divides 631 without a remainder.
1, 631
Greatest Common Divisior
We found the divisors of 824, 108, 26, 631 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 108, 26, 631 is 1.
Therefore, GCD of numbers 824, 108, 26, 631 is 1
Given Input Data is 824, 108, 26, 631
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 824 is 2 x 2 x 2 x 103
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
Prime Factorization of 26 is 2 x 13
Prime Factorization of 631 is 631
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(824, 108) = 22248
GCD(824, 108) = ( 824 x 108 ) / 22248
GCD(824, 108) = 88992 / 22248
GCD(824, 108) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 26
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 26) = 52
GCD(4, 26) = ( 4 x 26 ) / 52
GCD(4, 26) = 104 / 52
GCD(4, 26) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 631
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 631) = 1262
GCD(2, 631) = ( 2 x 631 ) / 1262
GCD(2, 631) = 1262 / 1262
GCD(2, 631) = 1
GCD of 824, 108, 26, 631 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 824, 108, 26, 631?
GCD of 824, 108, 26, 631 is 1
2. Where do I get the detailed procedure to find GCD of 824, 108, 26, 631?
You can find a detailed procedure to find GCD of 824, 108, 26, 631 on our page.
3. How to find GCD of 824, 108, 26, 631 on a calculator?
You can find the GCD of 824, 108, 26, 631 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.