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 622, 997, 12, 205 i.e. 1 largest integer that divides all the numbers equally.
GCD of 622, 997, 12, 205 is 1
GCD(622, 997, 12, 205) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 622, 997, 12, 205 is 1
GCD(622, 997, 12, 205) = 1
Given Input numbers are 622, 997, 12, 205
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 622
List of positive integer divisors of 622 that divides 622 without a remainder.
1, 2, 311, 622
Divisors of 997
List of positive integer divisors of 997 that divides 997 without a remainder.
1, 997
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 205
List of positive integer divisors of 205 that divides 205 without a remainder.
1, 5, 41, 205
Greatest Common Divisior
We found the divisors of 622, 997, 12, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 622, 997, 12, 205 is 1.
Therefore, GCD of numbers 622, 997, 12, 205 is 1
Given Input Data is 622, 997, 12, 205
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 622 is 2 x 311
Prime Factorization of 997 is 997
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 205 is 5 x 41
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(622, 997) = 620134
GCD(622, 997) = ( 622 x 997 ) / 620134
GCD(622, 997) = 620134 / 620134
GCD(622, 997) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 12) = 12
GCD(1, 12) = ( 1 x 12 ) / 12
GCD(1, 12) = 12 / 12
GCD(1, 12) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 205
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 205) = 205
GCD(1, 205) = ( 1 x 205 ) / 205
GCD(1, 205) = 205 / 205
GCD(1, 205) = 1
GCD of 622, 997, 12, 205 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 622, 997, 12, 205?
GCD of 622, 997, 12, 205 is 1
2. Where do I get the detailed procedure to find GCD of 622, 997, 12, 205?
You can find a detailed procedure to find GCD of 622, 997, 12, 205 on our page.
3. How to find GCD of 622, 997, 12, 205 on a calculator?
You can find the GCD of 622, 997, 12, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.