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 864, 679, 866, 659 i.e. 1 largest integer that divides all the numbers equally.
GCD of 864, 679, 866, 659 is 1
GCD(864, 679, 866, 659) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 864, 679, 866, 659 is 1
GCD(864, 679, 866, 659) = 1
Given Input numbers are 864, 679, 866, 659
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 864
List of positive integer divisors of 864 that divides 864 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 679
List of positive integer divisors of 679 that divides 679 without a remainder.
1, 7, 97, 679
Divisors of 866
List of positive integer divisors of 866 that divides 866 without a remainder.
1, 2, 433, 866
Divisors of 659
List of positive integer divisors of 659 that divides 659 without a remainder.
1, 659
Greatest Common Divisior
We found the divisors of 864, 679, 866, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 679, 866, 659 is 1.
Therefore, GCD of numbers 864, 679, 866, 659 is 1
Given Input Data is 864, 679, 866, 659
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 679 is 7 x 97
Prime Factorization of 866 is 2 x 433
Prime Factorization of 659 is 659
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(864, 679) = 586656
GCD(864, 679) = ( 864 x 679 ) / 586656
GCD(864, 679) = 586656 / 586656
GCD(864, 679) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 866
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 866) = 866
GCD(1, 866) = ( 1 x 866 ) / 866
GCD(1, 866) = 866 / 866
GCD(1, 866) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 659
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 659) = 659
GCD(1, 659) = ( 1 x 659 ) / 659
GCD(1, 659) = 659 / 659
GCD(1, 659) = 1
GCD of 864, 679, 866, 659 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 864, 679, 866, 659?
GCD of 864, 679, 866, 659 is 1
2. Where do I get the detailed procedure to find GCD of 864, 679, 866, 659?
You can find a detailed procedure to find GCD of 864, 679, 866, 659 on our page.
3. How to find GCD of 864, 679, 866, 659 on a calculator?
You can find the GCD of 864, 679, 866, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.