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 24, 869, 268, 489 i.e. 1 largest integer that divides all the numbers equally.
GCD of 24, 869, 268, 489 is 1
GCD(24, 869, 268, 489) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 24, 869, 268, 489 is 1
GCD(24, 869, 268, 489) = 1
Given Input numbers are 24, 869, 268, 489
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 869
List of positive integer divisors of 869 that divides 869 without a remainder.
1, 11, 79, 869
Divisors of 268
List of positive integer divisors of 268 that divides 268 without a remainder.
1, 2, 4, 67, 134, 268
Divisors of 489
List of positive integer divisors of 489 that divides 489 without a remainder.
1, 3, 163, 489
Greatest Common Divisior
We found the divisors of 24, 869, 268, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 869, 268, 489 is 1.
Therefore, GCD of numbers 24, 869, 268, 489 is 1
Given Input Data is 24, 869, 268, 489
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 869 is 11 x 79
Prime Factorization of 268 is 2 x 2 x 67
Prime Factorization of 489 is 3 x 163
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(24, 869) = 20856
GCD(24, 869) = ( 24 x 869 ) / 20856
GCD(24, 869) = 20856 / 20856
GCD(24, 869) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 268
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 268) = 268
GCD(1, 268) = ( 1 x 268 ) / 268
GCD(1, 268) = 268 / 268
GCD(1, 268) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 489
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 489) = 489
GCD(1, 489) = ( 1 x 489 ) / 489
GCD(1, 489) = 489 / 489
GCD(1, 489) = 1
GCD of 24, 869, 268, 489 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 24, 869, 268, 489?
GCD of 24, 869, 268, 489 is 1
2. Where do I get the detailed procedure to find GCD of 24, 869, 268, 489?
You can find a detailed procedure to find GCD of 24, 869, 268, 489 on our page.
3. How to find GCD of 24, 869, 268, 489 on a calculator?
You can find the GCD of 24, 869, 268, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.