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, 281, 318, 989 i.e. 1 largest integer that divides all the numbers equally.
GCD of 209, 281, 318, 989 is 1
GCD(209, 281, 318, 989) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 209, 281, 318, 989 is 1
GCD(209, 281, 318, 989) = 1
Given Input numbers are 209, 281, 318, 989
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 281
List of positive integer divisors of 281 that divides 281 without a remainder.
1, 281
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 989
List of positive integer divisors of 989 that divides 989 without a remainder.
1, 23, 43, 989
Greatest Common Divisior
We found the divisors of 209, 281, 318, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 281, 318, 989 is 1.
Therefore, GCD of numbers 209, 281, 318, 989 is 1
Given Input Data is 209, 281, 318, 989
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 209 is 11 x 19
Prime Factorization of 281 is 281
Prime Factorization of 318 is 2 x 3 x 53
Prime Factorization of 989 is 23 x 43
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, 281) = 58729
GCD(209, 281) = ( 209 x 281 ) / 58729
GCD(209, 281) = 58729 / 58729
GCD(209, 281) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 318
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 318) = 318
GCD(1, 318) = ( 1 x 318 ) / 318
GCD(1, 318) = 318 / 318
GCD(1, 318) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 989
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 989) = 989
GCD(1, 989) = ( 1 x 989 ) / 989
GCD(1, 989) = 989 / 989
GCD(1, 989) = 1
GCD of 209, 281, 318, 989 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 209, 281, 318, 989?
GCD of 209, 281, 318, 989 is 1
2. Where do I get the detailed procedure to find GCD of 209, 281, 318, 989?
You can find a detailed procedure to find GCD of 209, 281, 318, 989 on our page.
3. How to find GCD of 209, 281, 318, 989 on a calculator?
You can find the GCD of 209, 281, 318, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.