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 10, 987, 591, 184 i.e. 1 largest integer that divides all the numbers equally.
GCD of 10, 987, 591, 184 is 1
GCD(10, 987, 591, 184) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 10, 987, 591, 184 is 1
GCD(10, 987, 591, 184) = 1
Given Input numbers are 10, 987, 591, 184
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
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 591
List of positive integer divisors of 591 that divides 591 without a remainder.
1, 3, 197, 591
Divisors of 184
List of positive integer divisors of 184 that divides 184 without a remainder.
1, 2, 4, 8, 23, 46, 92, 184
Greatest Common Divisior
We found the divisors of 10, 987, 591, 184 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 987, 591, 184 is 1.
Therefore, GCD of numbers 10, 987, 591, 184 is 1
Given Input Data is 10, 987, 591, 184
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 10 is 2 x 5
Prime Factorization of 987 is 3 x 7 x 47
Prime Factorization of 591 is 3 x 197
Prime Factorization of 184 is 2 x 2 x 2 x 23
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(10, 987) = 9870
GCD(10, 987) = ( 10 x 987 ) / 9870
GCD(10, 987) = 9870 / 9870
GCD(10, 987) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 591
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 591) = 591
GCD(1, 591) = ( 1 x 591 ) / 591
GCD(1, 591) = 591 / 591
GCD(1, 591) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 184
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 184) = 184
GCD(1, 184) = ( 1 x 184 ) / 184
GCD(1, 184) = 184 / 184
GCD(1, 184) = 1
GCD of 10, 987, 591, 184 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 10, 987, 591, 184?
GCD of 10, 987, 591, 184 is 1
2. Where do I get the detailed procedure to find GCD of 10, 987, 591, 184?
You can find a detailed procedure to find GCD of 10, 987, 591, 184 on our page.
3. How to find GCD of 10, 987, 591, 184 on a calculator?
You can find the GCD of 10, 987, 591, 184 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.