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 209, 881, 998, 971 i.e. 1 largest integer that divides all the numbers equally.
GCD of 209, 881, 998, 971 is 1
GCD(209, 881, 998, 971) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 209, 881, 998, 971 is 1
GCD(209, 881, 998, 971) = 1
Given Input numbers are 209, 881, 998, 971
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 209
List of positive integer divisors of 209 that divides 209 without a remainder.
1, 11, 19, 209
Divisors of 881
List of positive integer divisors of 881 that divides 881 without a remainder.
1, 881
Divisors of 998
List of positive integer divisors of 998 that divides 998 without a remainder.
1, 2, 499, 998
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Greatest Common Divisior
We found the divisors of 209, 881, 998, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 881, 998, 971 is 1.
Therefore, GCD of numbers 209, 881, 998, 971 is 1
Given Input Data is 209, 881, 998, 971
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 209 is 11 x 19
Prime Factorization of 881 is 881
Prime Factorization of 998 is 2 x 499
Prime Factorization of 971 is 971
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(209, 881) = 184129
GCD(209, 881) = ( 209 x 881 ) / 184129
GCD(209, 881) = 184129 / 184129
GCD(209, 881) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 998
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 998) = 998
GCD(1, 998) = ( 1 x 998 ) / 998
GCD(1, 998) = 998 / 998
GCD(1, 998) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 971
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 971) = 971
GCD(1, 971) = ( 1 x 971 ) / 971
GCD(1, 971) = 971 / 971
GCD(1, 971) = 1
GCD of 209, 881, 998, 971 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 209, 881, 998, 971?
GCD of 209, 881, 998, 971 is 1
2. Where do I get the detailed procedure to find GCD of 209, 881, 998, 971?
You can find a detailed procedure to find GCD of 209, 881, 998, 971 on our page.
3. How to find GCD of 209, 881, 998, 971 on a calculator?
You can find the GCD of 209, 881, 998, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.