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 987, 131, 82, 583 i.e. 1 largest integer that divides all the numbers equally.
GCD of 987, 131, 82, 583 is 1
GCD(987, 131, 82, 583) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 987, 131, 82, 583 is 1
GCD(987, 131, 82, 583) = 1
Given Input numbers are 987, 131, 82, 583
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 583
List of positive integer divisors of 583 that divides 583 without a remainder.
1, 11, 53, 583
Greatest Common Divisior
We found the divisors of 987, 131, 82, 583 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 131, 82, 583 is 1.
Therefore, GCD of numbers 987, 131, 82, 583 is 1
Given Input Data is 987, 131, 82, 583
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 987 is 3 x 7 x 47
Prime Factorization of 131 is 131
Prime Factorization of 82 is 2 x 41
Prime Factorization of 583 is 11 x 53
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(987, 131) = 129297
GCD(987, 131) = ( 987 x 131 ) / 129297
GCD(987, 131) = 129297 / 129297
GCD(987, 131) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 82) = 82
GCD(1, 82) = ( 1 x 82 ) / 82
GCD(1, 82) = 82 / 82
GCD(1, 82) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 583
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 583) = 583
GCD(1, 583) = ( 1 x 583 ) / 583
GCD(1, 583) = 583 / 583
GCD(1, 583) = 1
GCD of 987, 131, 82, 583 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 987, 131, 82, 583?
GCD of 987, 131, 82, 583 is 1
2. Where do I get the detailed procedure to find GCD of 987, 131, 82, 583?
You can find a detailed procedure to find GCD of 987, 131, 82, 583 on our page.
3. How to find GCD of 987, 131, 82, 583 on a calculator?
You can find the GCD of 987, 131, 82, 583 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.