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 87, 993, 589, 912 i.e. 1 largest integer that divides all the numbers equally.
GCD of 87, 993, 589, 912 is 1
GCD(87, 993, 589, 912) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 87, 993, 589, 912 is 1
GCD(87, 993, 589, 912) = 1
Given Input numbers are 87, 993, 589, 912
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Divisors of 589
List of positive integer divisors of 589 that divides 589 without a remainder.
1, 19, 31, 589
Divisors of 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Greatest Common Divisior
We found the divisors of 87, 993, 589, 912 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 993, 589, 912 is 1.
Therefore, GCD of numbers 87, 993, 589, 912 is 1
Given Input Data is 87, 993, 589, 912
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 87 is 3 x 29
Prime Factorization of 993 is 3 x 331
Prime Factorization of 589 is 19 x 31
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
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(87, 993) = 28797
GCD(87, 993) = ( 87 x 993 ) / 28797
GCD(87, 993) = 86391 / 28797
GCD(87, 993) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 589
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 589) = 1767
GCD(3, 589) = ( 3 x 589 ) / 1767
GCD(3, 589) = 1767 / 1767
GCD(3, 589) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 912
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 912) = 912
GCD(1, 912) = ( 1 x 912 ) / 912
GCD(1, 912) = 912 / 912
GCD(1, 912) = 1
GCD of 87, 993, 589, 912 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 87, 993, 589, 912?
GCD of 87, 993, 589, 912 is 1
2. Where do I get the detailed procedure to find GCD of 87, 993, 589, 912?
You can find a detailed procedure to find GCD of 87, 993, 589, 912 on our page.
3. How to find GCD of 87, 993, 589, 912 on a calculator?
You can find the GCD of 87, 993, 589, 912 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.