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 204, 289, 58, 987 i.e. 1 largest integer that divides all the numbers equally.
GCD of 204, 289, 58, 987 is 1
GCD(204, 289, 58, 987) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 204, 289, 58, 987 is 1
GCD(204, 289, 58, 987) = 1
Given Input numbers are 204, 289, 58, 987
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 204
List of positive integer divisors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Greatest Common Divisior
We found the divisors of 204, 289, 58, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 289, 58, 987 is 1.
Therefore, GCD of numbers 204, 289, 58, 987 is 1
Given Input Data is 204, 289, 58, 987
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 204 is 2 x 2 x 3 x 17
Prime Factorization of 289 is 17 x 17
Prime Factorization of 58 is 2 x 29
Prime Factorization of 987 is 3 x 7 x 47
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(204, 289) = 3468
GCD(204, 289) = ( 204 x 289 ) / 3468
GCD(204, 289) = 58956 / 3468
GCD(204, 289) = 17
Step2:
Here we consider the GCD from the above i.e. 17 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(17, 58) = 986
GCD(17, 58) = ( 17 x 58 ) / 986
GCD(17, 58) = 986 / 986
GCD(17, 58) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 987
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 987) = 987
GCD(1, 987) = ( 1 x 987 ) / 987
GCD(1, 987) = 987 / 987
GCD(1, 987) = 1
GCD of 204, 289, 58, 987 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 204, 289, 58, 987?
GCD of 204, 289, 58, 987 is 1
2. Where do I get the detailed procedure to find GCD of 204, 289, 58, 987?
You can find a detailed procedure to find GCD of 204, 289, 58, 987 on our page.
3. How to find GCD of 204, 289, 58, 987 on a calculator?
You can find the GCD of 204, 289, 58, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.