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 20, 909, 981, 227 i.e. 1 largest integer that divides all the numbers equally.
GCD of 20, 909, 981, 227 is 1
GCD(20, 909, 981, 227) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 20, 909, 981, 227 is 1
GCD(20, 909, 981, 227) = 1
Given Input numbers are 20, 909, 981, 227
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Divisors of 981
List of positive integer divisors of 981 that divides 981 without a remainder.
1, 3, 9, 109, 327, 981
Divisors of 227
List of positive integer divisors of 227 that divides 227 without a remainder.
1, 227
Greatest Common Divisior
We found the divisors of 20, 909, 981, 227 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 909, 981, 227 is 1.
Therefore, GCD of numbers 20, 909, 981, 227 is 1
Given Input Data is 20, 909, 981, 227
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 909 is 3 x 3 x 101
Prime Factorization of 981 is 3 x 3 x 109
Prime Factorization of 227 is 227
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(20, 909) = 18180
GCD(20, 909) = ( 20 x 909 ) / 18180
GCD(20, 909) = 18180 / 18180
GCD(20, 909) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 981
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 981) = 981
GCD(1, 981) = ( 1 x 981 ) / 981
GCD(1, 981) = 981 / 981
GCD(1, 981) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 227
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 227) = 227
GCD(1, 227) = ( 1 x 227 ) / 227
GCD(1, 227) = 227 / 227
GCD(1, 227) = 1
GCD of 20, 909, 981, 227 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 20, 909, 981, 227?
GCD of 20, 909, 981, 227 is 1
2. Where do I get the detailed procedure to find GCD of 20, 909, 981, 227?
You can find a detailed procedure to find GCD of 20, 909, 981, 227 on our page.
3. How to find GCD of 20, 909, 981, 227 on a calculator?
You can find the GCD of 20, 909, 981, 227 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.