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, 794, 109, 357 i.e. 1 largest integer that divides all the numbers equally.
GCD of 22, 794, 109, 357 is 1
GCD(22, 794, 109, 357) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 22, 794, 109, 357 is 1
GCD(22, 794, 109, 357) = 1
Given Input numbers are 22, 794, 109, 357
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 794
List of positive integer divisors of 794 that divides 794 without a remainder.
1, 2, 397, 794
Divisors of 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Greatest Common Divisior
We found the divisors of 22, 794, 109, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 794, 109, 357 is 1.
Therefore, GCD of numbers 22, 794, 109, 357 is 1
Given Input Data is 22, 794, 109, 357
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 22 is 2 x 11
Prime Factorization of 794 is 2 x 397
Prime Factorization of 109 is 109
Prime Factorization of 357 is 3 x 7 x 17
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, 794) = 8734
GCD(22, 794) = ( 22 x 794 ) / 8734
GCD(22, 794) = 17468 / 8734
GCD(22, 794) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 109
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 109) = 218
GCD(2, 109) = ( 2 x 109 ) / 218
GCD(2, 109) = 218 / 218
GCD(2, 109) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 357
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 357) = 357
GCD(1, 357) = ( 1 x 357 ) / 357
GCD(1, 357) = 357 / 357
GCD(1, 357) = 1
GCD of 22, 794, 109, 357 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 22, 794, 109, 357?
GCD of 22, 794, 109, 357 is 1
2. Where do I get the detailed procedure to find GCD of 22, 794, 109, 357?
You can find a detailed procedure to find GCD of 22, 794, 109, 357 on our page.
3. How to find GCD of 22, 794, 109, 357 on a calculator?
You can find the GCD of 22, 794, 109, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.