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, 627, 182, 122 i.e. 1 largest integer that divides all the numbers equally.
GCD of 22, 627, 182, 122 is 1
GCD(22, 627, 182, 122) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 22, 627, 182, 122 is 1
GCD(22, 627, 182, 122) = 1
Given Input numbers are 22, 627, 182, 122
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 627
List of positive integer divisors of 627 that divides 627 without a remainder.
1, 3, 11, 19, 33, 57, 209, 627
Divisors of 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Greatest Common Divisior
We found the divisors of 22, 627, 182, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 627, 182, 122 is 1.
Therefore, GCD of numbers 22, 627, 182, 122 is 1
Given Input Data is 22, 627, 182, 122
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 22 is 2 x 11
Prime Factorization of 627 is 3 x 11 x 19
Prime Factorization of 182 is 2 x 7 x 13
Prime Factorization of 122 is 2 x 61
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, 627) = 1254
GCD(22, 627) = ( 22 x 627 ) / 1254
GCD(22, 627) = 13794 / 1254
GCD(22, 627) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 182
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 182) = 2002
GCD(11, 182) = ( 11 x 182 ) / 2002
GCD(11, 182) = 2002 / 2002
GCD(11, 182) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 122
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 122) = 122
GCD(1, 122) = ( 1 x 122 ) / 122
GCD(1, 122) = 122 / 122
GCD(1, 122) = 1
GCD of 22, 627, 182, 122 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 22, 627, 182, 122?
GCD of 22, 627, 182, 122 is 1
2. Where do I get the detailed procedure to find GCD of 22, 627, 182, 122?
You can find a detailed procedure to find GCD of 22, 627, 182, 122 on our page.
3. How to find GCD of 22, 627, 182, 122 on a calculator?
You can find the GCD of 22, 627, 182, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.