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 267, 864, 23, 969 i.e. 1 largest integer that divides all the numbers equally.
GCD of 267, 864, 23, 969 is 1
GCD(267, 864, 23, 969) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 267, 864, 23, 969 is 1
GCD(267, 864, 23, 969) = 1
Given Input numbers are 267, 864, 23, 969
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
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 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Greatest Common Divisior
We found the divisors of 267, 864, 23, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 267, 864, 23, 969 is 1.
Therefore, GCD of numbers 267, 864, 23, 969 is 1
Given Input Data is 267, 864, 23, 969
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 267 is 3 x 89
Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 23 is 23
Prime Factorization of 969 is 3 x 17 x 19
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(267, 864) = 76896
GCD(267, 864) = ( 267 x 864 ) / 76896
GCD(267, 864) = 230688 / 76896
GCD(267, 864) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 23
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 23) = 69
GCD(3, 23) = ( 3 x 23 ) / 69
GCD(3, 23) = 69 / 69
GCD(3, 23) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 969
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 969) = 969
GCD(1, 969) = ( 1 x 969 ) / 969
GCD(1, 969) = 969 / 969
GCD(1, 969) = 1
GCD of 267, 864, 23, 969 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 267, 864, 23, 969?
GCD of 267, 864, 23, 969 is 1
2. Where do I get the detailed procedure to find GCD of 267, 864, 23, 969?
You can find a detailed procedure to find GCD of 267, 864, 23, 969 on our page.
3. How to find GCD of 267, 864, 23, 969 on a calculator?
You can find the GCD of 267, 864, 23, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.