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 855, 530, 24, 268 i.e. 1 largest integer that divides all the numbers equally.
GCD of 855, 530, 24, 268 is 1
GCD(855, 530, 24, 268) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 855, 530, 24, 268 is 1
GCD(855, 530, 24, 268) = 1
Given Input numbers are 855, 530, 24, 268
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 855
List of positive integer divisors of 855 that divides 855 without a remainder.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Divisors of 530
List of positive integer divisors of 530 that divides 530 without a remainder.
1, 2, 5, 10, 53, 106, 265, 530
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 268
List of positive integer divisors of 268 that divides 268 without a remainder.
1, 2, 4, 67, 134, 268
Greatest Common Divisior
We found the divisors of 855, 530, 24, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 530, 24, 268 is 1.
Therefore, GCD of numbers 855, 530, 24, 268 is 1
Given Input Data is 855, 530, 24, 268
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 855 is 3 x 3 x 5 x 19
Prime Factorization of 530 is 2 x 5 x 53
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 268 is 2 x 2 x 67
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(855, 530) = 90630
GCD(855, 530) = ( 855 x 530 ) / 90630
GCD(855, 530) = 453150 / 90630
GCD(855, 530) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 24) = 120
GCD(5, 24) = ( 5 x 24 ) / 120
GCD(5, 24) = 120 / 120
GCD(5, 24) = 1
Step3:
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
GCD of 855, 530, 24, 268 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 855, 530, 24, 268?
GCD of 855, 530, 24, 268 is 1
2. Where do I get the detailed procedure to find GCD of 855, 530, 24, 268?
You can find a detailed procedure to find GCD of 855, 530, 24, 268 on our page.
3. How to find GCD of 855, 530, 24, 268 on a calculator?
You can find the GCD of 855, 530, 24, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.