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, 663, 647 i.e. 1 largest integer that divides all the numbers equally.
GCD of 864, 663, 647 is 1
GCD(864, 663, 647) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 864, 663, 647 is 1
GCD(864, 663, 647) = 1
Given Input numbers are 864, 663, 647
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 663
List of positive integer divisors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Divisors of 647
List of positive integer divisors of 647 that divides 647 without a remainder.
1, 647
Greatest Common Divisior
We found the divisors of 864, 663, 647 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 663, 647 is 1.
Therefore, GCD of numbers 864, 663, 647 is 1
Given Input Data is 864, 663, 647
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 663 is 3 x 13 x 17
Prime Factorization of 647 is 647
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, 663) = 190944
GCD(864, 663) = ( 864 x 663 ) / 190944
GCD(864, 663) = 572832 / 190944
GCD(864, 663) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 647
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 647) = 1941
GCD(3, 647) = ( 3 x 647 ) / 1941
GCD(3, 647) = 1941 / 1941
GCD(3, 647) = 1
GCD of 864, 663, 647 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 864, 663, 647?
GCD of 864, 663, 647 is 1
2. Where do I get the detailed procedure to find GCD of 864, 663, 647?
You can find a detailed procedure to find GCD of 864, 663, 647 on our page.
3. How to find GCD of 864, 663, 647 on a calculator?
You can find the GCD of 864, 663, 647 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.