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 264, 543, 868 i.e. 1 largest integer that divides all the numbers equally.
GCD of 264, 543, 868 is 1
GCD(264, 543, 868) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 264, 543, 868 is 1
GCD(264, 543, 868) = 1
Given Input numbers are 264, 543, 868
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 543
List of positive integer divisors of 543 that divides 543 without a remainder.
1, 3, 181, 543
Divisors of 868
List of positive integer divisors of 868 that divides 868 without a remainder.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Greatest Common Divisior
We found the divisors of 264, 543, 868 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 543, 868 is 1.
Therefore, GCD of numbers 264, 543, 868 is 1
Given Input Data is 264, 543, 868
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
Prime Factorization of 543 is 3 x 181
Prime Factorization of 868 is 2 x 2 x 7 x 31
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(264, 543) = 47784
GCD(264, 543) = ( 264 x 543 ) / 47784
GCD(264, 543) = 143352 / 47784
GCD(264, 543) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 868
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 868) = 2604
GCD(3, 868) = ( 3 x 868 ) / 2604
GCD(3, 868) = 2604 / 2604
GCD(3, 868) = 1
GCD of 264, 543, 868 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 264, 543, 868?
GCD of 264, 543, 868 is 1
2. Where do I get the detailed procedure to find GCD of 264, 543, 868?
You can find a detailed procedure to find GCD of 264, 543, 868 on our page.
3. How to find GCD of 264, 543, 868 on a calculator?
You can find the GCD of 264, 543, 868 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.