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 796, 822, 24, 215 i.e. 1 largest integer that divides all the numbers equally.
GCD of 796, 822, 24, 215 is 1
GCD(796, 822, 24, 215) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 796, 822, 24, 215 is 1
GCD(796, 822, 24, 215) = 1
Given Input numbers are 796, 822, 24, 215
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 796
List of positive integer divisors of 796 that divides 796 without a remainder.
1, 2, 4, 199, 398, 796
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 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 215
List of positive integer divisors of 215 that divides 215 without a remainder.
1, 5, 43, 215
Greatest Common Divisior
We found the divisors of 796, 822, 24, 215 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 796, 822, 24, 215 is 1.
Therefore, GCD of numbers 796, 822, 24, 215 is 1
Given Input Data is 796, 822, 24, 215
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 796 is 2 x 2 x 199
Prime Factorization of 822 is 2 x 3 x 137
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 215 is 5 x 43
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(796, 822) = 327156
GCD(796, 822) = ( 796 x 822 ) / 327156
GCD(796, 822) = 654312 / 327156
GCD(796, 822) = 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 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
GCD of 796, 822, 24, 215 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 796, 822, 24, 215?
GCD of 796, 822, 24, 215 is 1
2. Where do I get the detailed procedure to find GCD of 796, 822, 24, 215?
You can find a detailed procedure to find GCD of 796, 822, 24, 215 on our page.
3. How to find GCD of 796, 822, 24, 215 on a calculator?
You can find the GCD of 796, 822, 24, 215 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.