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, 589, 17, 925 i.e. 1 largest integer that divides all the numbers equally.
GCD of 987, 589, 17, 925 is 1
GCD(987, 589, 17, 925) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 987, 589, 17, 925 is 1
GCD(987, 589, 17, 925) = 1
Given Input numbers are 987, 589, 17, 925
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 589
List of positive integer divisors of 589 that divides 589 without a remainder.
1, 19, 31, 589
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 925
List of positive integer divisors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Greatest Common Divisior
We found the divisors of 987, 589, 17, 925 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 589, 17, 925 is 1.
Therefore, GCD of numbers 987, 589, 17, 925 is 1
Given Input Data is 987, 589, 17, 925
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 589 is 19 x 31
Prime Factorization of 17 is 17
Prime Factorization of 925 is 5 x 5 x 37
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, 589) = 581343
GCD(987, 589) = ( 987 x 589 ) / 581343
GCD(987, 589) = 581343 / 581343
GCD(987, 589) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
GCD(1, 17) = 17 / 17
GCD(1, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 925
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 925) = 925
GCD(1, 925) = ( 1 x 925 ) / 925
GCD(1, 925) = 925 / 925
GCD(1, 925) = 1
GCD of 987, 589, 17, 925 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 987, 589, 17, 925?
GCD of 987, 589, 17, 925 is 1
2. Where do I get the detailed procedure to find GCD of 987, 589, 17, 925?
You can find a detailed procedure to find GCD of 987, 589, 17, 925 on our page.
3. How to find GCD of 987, 589, 17, 925 on a calculator?
You can find the GCD of 987, 589, 17, 925 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.