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 22, 216, 893, 744 i.e. 1 largest integer that divides all the numbers equally.
GCD of 22, 216, 893, 744 is 1
GCD(22, 216, 893, 744) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 22, 216, 893, 744 is 1
GCD(22, 216, 893, 744) = 1
Given Input numbers are 22, 216, 893, 744
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
Divisors of 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 893
List of positive integer divisors of 893 that divides 893 without a remainder.
1, 19, 47, 893
Divisors of 744
List of positive integer divisors of 744 that divides 744 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Greatest Common Divisior
We found the divisors of 22, 216, 893, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 216, 893, 744 is 1.
Therefore, GCD of numbers 22, 216, 893, 744 is 1
Given Input Data is 22, 216, 893, 744
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 22 is 2 x 11
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 893 is 19 x 47
Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31
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(22, 216) = 2376
GCD(22, 216) = ( 22 x 216 ) / 2376
GCD(22, 216) = 4752 / 2376
GCD(22, 216) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 893
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 893) = 1786
GCD(2, 893) = ( 2 x 893 ) / 1786
GCD(2, 893) = 1786 / 1786
GCD(2, 893) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 744
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 744) = 744
GCD(1, 744) = ( 1 x 744 ) / 744
GCD(1, 744) = 744 / 744
GCD(1, 744) = 1
GCD of 22, 216, 893, 744 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 22, 216, 893, 744?
GCD of 22, 216, 893, 744 is 1
2. Where do I get the detailed procedure to find GCD of 22, 216, 893, 744?
You can find a detailed procedure to find GCD of 22, 216, 893, 744 on our page.
3. How to find GCD of 22, 216, 893, 744 on a calculator?
You can find the GCD of 22, 216, 893, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.