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 822, 940, 24, 629 i.e. 1 largest integer that divides all the numbers equally.
GCD of 822, 940, 24, 629 is 1
GCD(822, 940, 24, 629) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 822, 940, 24, 629 is 1
GCD(822, 940, 24, 629) = 1
Given Input numbers are 822, 940, 24, 629
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 822
List of positive integer divisors of 822 that divides 822 without a remainder.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Greatest Common Divisior
We found the divisors of 822, 940, 24, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 940, 24, 629 is 1.
Therefore, GCD of numbers 822, 940, 24, 629 is 1
Given Input Data is 822, 940, 24, 629
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 822 is 2 x 3 x 137
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 629 is 17 x 37
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(822, 940) = 386340
GCD(822, 940) = ( 822 x 940 ) / 386340
GCD(822, 940) = 772680 / 386340
GCD(822, 940) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 24) = 24
GCD(2, 24) = ( 2 x 24 ) / 24
GCD(2, 24) = 48 / 24
GCD(2, 24) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 629
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 629) = 1258
GCD(2, 629) = ( 2 x 629 ) / 1258
GCD(2, 629) = 1258 / 1258
GCD(2, 629) = 1
GCD of 822, 940, 24, 629 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 822, 940, 24, 629?
GCD of 822, 940, 24, 629 is 1
2. Where do I get the detailed procedure to find GCD of 822, 940, 24, 629?
You can find a detailed procedure to find GCD of 822, 940, 24, 629 on our page.
3. How to find GCD of 822, 940, 24, 629 on a calculator?
You can find the GCD of 822, 940, 24, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.