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 21, 992, 244, 796 i.e. 1 largest integer that divides all the numbers equally.
GCD of 21, 992, 244, 796 is 1
GCD(21, 992, 244, 796) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 21, 992, 244, 796 is 1
GCD(21, 992, 244, 796) = 1
Given Input numbers are 21, 992, 244, 796
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 992
List of positive integer divisors of 992 that divides 992 without a remainder.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Divisors of 244
List of positive integer divisors of 244 that divides 244 without a remainder.
1, 2, 4, 61, 122, 244
Divisors of 796
List of positive integer divisors of 796 that divides 796 without a remainder.
1, 2, 4, 199, 398, 796
Greatest Common Divisior
We found the divisors of 21, 992, 244, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 992, 244, 796 is 1.
Therefore, GCD of numbers 21, 992, 244, 796 is 1
Given Input Data is 21, 992, 244, 796
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 21 is 3 x 7
Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31
Prime Factorization of 244 is 2 x 2 x 61
Prime Factorization of 796 is 2 x 2 x 199
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(21, 992) = 20832
GCD(21, 992) = ( 21 x 992 ) / 20832
GCD(21, 992) = 20832 / 20832
GCD(21, 992) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 244
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 244) = 244
GCD(1, 244) = ( 1 x 244 ) / 244
GCD(1, 244) = 244 / 244
GCD(1, 244) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 796
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 796) = 796
GCD(1, 796) = ( 1 x 796 ) / 796
GCD(1, 796) = 796 / 796
GCD(1, 796) = 1
GCD of 21, 992, 244, 796 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 21, 992, 244, 796?
GCD of 21, 992, 244, 796 is 1
2. Where do I get the detailed procedure to find GCD of 21, 992, 244, 796?
You can find a detailed procedure to find GCD of 21, 992, 244, 796 on our page.
3. How to find GCD of 21, 992, 244, 796 on a calculator?
You can find the GCD of 21, 992, 244, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.