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, 764, 404, 307 i.e. 1 largest integer that divides all the numbers equally.
GCD of 22, 764, 404, 307 is 1
GCD(22, 764, 404, 307) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 22, 764, 404, 307 is 1
GCD(22, 764, 404, 307) = 1
Given Input numbers are 22, 764, 404, 307
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 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Greatest Common Divisior
We found the divisors of 22, 764, 404, 307 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 764, 404, 307 is 1.
Therefore, GCD of numbers 22, 764, 404, 307 is 1
Given Input Data is 22, 764, 404, 307
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 22 is 2 x 11
Prime Factorization of 764 is 2 x 2 x 191
Prime Factorization of 404 is 2 x 2 x 101
Prime Factorization of 307 is 307
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, 764) = 8404
GCD(22, 764) = ( 22 x 764 ) / 8404
GCD(22, 764) = 16808 / 8404
GCD(22, 764) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 404
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 404) = 404
GCD(2, 404) = ( 2 x 404 ) / 404
GCD(2, 404) = 808 / 404
GCD(2, 404) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 307
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 307) = 614
GCD(2, 307) = ( 2 x 307 ) / 614
GCD(2, 307) = 614 / 614
GCD(2, 307) = 1
GCD of 22, 764, 404, 307 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 22, 764, 404, 307?
GCD of 22, 764, 404, 307 is 1
2. Where do I get the detailed procedure to find GCD of 22, 764, 404, 307?
You can find a detailed procedure to find GCD of 22, 764, 404, 307 on our page.
3. How to find GCD of 22, 764, 404, 307 on a calculator?
You can find the GCD of 22, 764, 404, 307 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.