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 600, 979, 23, 873 i.e. 1 largest integer that divides all the numbers equally.
GCD of 600, 979, 23, 873 is 1
GCD(600, 979, 23, 873) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 600, 979, 23, 873 is 1
GCD(600, 979, 23, 873) = 1
Given Input numbers are 600, 979, 23, 873
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 979
List of positive integer divisors of 979 that divides 979 without a remainder.
1, 11, 89, 979
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Divisors of 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Greatest Common Divisior
We found the divisors of 600, 979, 23, 873 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 979, 23, 873 is 1.
Therefore, GCD of numbers 600, 979, 23, 873 is 1
Given Input Data is 600, 979, 23, 873
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 979 is 11 x 89
Prime Factorization of 23 is 23
Prime Factorization of 873 is 3 x 3 x 97
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(600, 979) = 587400
GCD(600, 979) = ( 600 x 979 ) / 587400
GCD(600, 979) = 587400 / 587400
GCD(600, 979) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 23
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 23) = 23
GCD(1, 23) = ( 1 x 23 ) / 23
GCD(1, 23) = 23 / 23
GCD(1, 23) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 873
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 873) = 873
GCD(1, 873) = ( 1 x 873 ) / 873
GCD(1, 873) = 873 / 873
GCD(1, 873) = 1
GCD of 600, 979, 23, 873 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 600, 979, 23, 873?
GCD of 600, 979, 23, 873 is 1
2. Where do I get the detailed procedure to find GCD of 600, 979, 23, 873?
You can find a detailed procedure to find GCD of 600, 979, 23, 873 on our page.
3. How to find GCD of 600, 979, 23, 873 on a calculator?
You can find the GCD of 600, 979, 23, 873 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.