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, 988, 215, 466 i.e. 1 largest integer that divides all the numbers equally.
GCD of 822, 988, 215, 466 is 1
GCD(822, 988, 215, 466) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 822, 988, 215, 466 is 1
GCD(822, 988, 215, 466) = 1
Given Input numbers are 822, 988, 215, 466
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 988
List of positive integer divisors of 988 that divides 988 without a remainder.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 215
List of positive integer divisors of 215 that divides 215 without a remainder.
1, 5, 43, 215
Divisors of 466
List of positive integer divisors of 466 that divides 466 without a remainder.
1, 2, 233, 466
Greatest Common Divisior
We found the divisors of 822, 988, 215, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 988, 215, 466 is 1.
Therefore, GCD of numbers 822, 988, 215, 466 is 1
Given Input Data is 822, 988, 215, 466
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 988 is 2 x 2 x 13 x 19
Prime Factorization of 215 is 5 x 43
Prime Factorization of 466 is 2 x 233
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, 988) = 406068
GCD(822, 988) = ( 822 x 988 ) / 406068
GCD(822, 988) = 812136 / 406068
GCD(822, 988) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 215
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 215) = 430
GCD(2, 215) = ( 2 x 215 ) / 430
GCD(2, 215) = 430 / 430
GCD(2, 215) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 466
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 466) = 466
GCD(1, 466) = ( 1 x 466 ) / 466
GCD(1, 466) = 466 / 466
GCD(1, 466) = 1
GCD of 822, 988, 215, 466 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 822, 988, 215, 466?
GCD of 822, 988, 215, 466 is 1
2. Where do I get the detailed procedure to find GCD of 822, 988, 215, 466?
You can find a detailed procedure to find GCD of 822, 988, 215, 466 on our page.
3. How to find GCD of 822, 988, 215, 466 on a calculator?
You can find the GCD of 822, 988, 215, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.