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, 873, 871, 599 i.e. 1 largest integer that divides all the numbers equally.
GCD of 87, 873, 871, 599 is 1
GCD(87, 873, 871, 599) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 87, 873, 871, 599 is 1
GCD(87, 873, 871, 599) = 1
Given Input numbers are 87, 873, 871, 599
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 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Divisors of 599
List of positive integer divisors of 599 that divides 599 without a remainder.
1, 599
Greatest Common Divisior
We found the divisors of 87, 873, 871, 599 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 873, 871, 599 is 1.
Therefore, GCD of numbers 87, 873, 871, 599 is 1
Given Input Data is 87, 873, 871, 599
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 87 is 3 x 29
Prime Factorization of 873 is 3 x 3 x 97
Prime Factorization of 871 is 13 x 67
Prime Factorization of 599 is 599
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, 873) = 25317
GCD(87, 873) = ( 87 x 873 ) / 25317
GCD(87, 873) = 75951 / 25317
GCD(87, 873) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 871
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 871) = 2613
GCD(3, 871) = ( 3 x 871 ) / 2613
GCD(3, 871) = 2613 / 2613
GCD(3, 871) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 599
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 599) = 599
GCD(1, 599) = ( 1 x 599 ) / 599
GCD(1, 599) = 599 / 599
GCD(1, 599) = 1
GCD of 87, 873, 871, 599 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 87, 873, 871, 599?
GCD of 87, 873, 871, 599 is 1
2. Where do I get the detailed procedure to find GCD of 87, 873, 871, 599?
You can find a detailed procedure to find GCD of 87, 873, 871, 599 on our page.
3. How to find GCD of 87, 873, 871, 599 on a calculator?
You can find the GCD of 87, 873, 871, 599 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.