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, 406, 42, 907 i.e. 1 largest integer that divides all the numbers equally.
GCD of 822, 406, 42, 907 is 1
GCD(822, 406, 42, 907) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 822, 406, 42, 907 is 1
GCD(822, 406, 42, 907) = 1
Given Input numbers are 822, 406, 42, 907
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 406
List of positive integer divisors of 406 that divides 406 without a remainder.
1, 2, 7, 14, 29, 58, 203, 406
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 907
List of positive integer divisors of 907 that divides 907 without a remainder.
1, 907
Greatest Common Divisior
We found the divisors of 822, 406, 42, 907 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 406, 42, 907 is 1.
Therefore, GCD of numbers 822, 406, 42, 907 is 1
Given Input Data is 822, 406, 42, 907
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 406 is 2 x 7 x 29
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 907 is 907
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, 406) = 166866
GCD(822, 406) = ( 822 x 406 ) / 166866
GCD(822, 406) = 333732 / 166866
GCD(822, 406) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 42) = 42
GCD(2, 42) = ( 2 x 42 ) / 42
GCD(2, 42) = 84 / 42
GCD(2, 42) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 907
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 907) = 1814
GCD(2, 907) = ( 2 x 907 ) / 1814
GCD(2, 907) = 1814 / 1814
GCD(2, 907) = 1
GCD of 822, 406, 42, 907 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 822, 406, 42, 907?
GCD of 822, 406, 42, 907 is 1
2. Where do I get the detailed procedure to find GCD of 822, 406, 42, 907?
You can find a detailed procedure to find GCD of 822, 406, 42, 907 on our page.
3. How to find GCD of 822, 406, 42, 907 on a calculator?
You can find the GCD of 822, 406, 42, 907 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.