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 23, 238, 842, 536 i.e. 1 largest integer that divides all the numbers equally.
GCD of 23, 238, 842, 536 is 1
GCD(23, 238, 842, 536) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 23, 238, 842, 536 is 1
GCD(23, 238, 842, 536) = 1
Given Input numbers are 23, 238, 842, 536
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 842
List of positive integer divisors of 842 that divides 842 without a remainder.
1, 2, 421, 842
Divisors of 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
Greatest Common Divisior
We found the divisors of 23, 238, 842, 536 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 238, 842, 536 is 1.
Therefore, GCD of numbers 23, 238, 842, 536 is 1
Given Input Data is 23, 238, 842, 536
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 23 is 23
Prime Factorization of 238 is 2 x 7 x 17
Prime Factorization of 842 is 2 x 421
Prime Factorization of 536 is 2 x 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(23, 238) = 5474
GCD(23, 238) = ( 23 x 238 ) / 5474
GCD(23, 238) = 5474 / 5474
GCD(23, 238) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 842
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 842) = 842
GCD(1, 842) = ( 1 x 842 ) / 842
GCD(1, 842) = 842 / 842
GCD(1, 842) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 536
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 536) = 536
GCD(1, 536) = ( 1 x 536 ) / 536
GCD(1, 536) = 536 / 536
GCD(1, 536) = 1
GCD of 23, 238, 842, 536 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 23, 238, 842, 536?
GCD of 23, 238, 842, 536 is 1
2. Where do I get the detailed procedure to find GCD of 23, 238, 842, 536?
You can find a detailed procedure to find GCD of 23, 238, 842, 536 on our page.
3. How to find GCD of 23, 238, 842, 536 on a calculator?
You can find the GCD of 23, 238, 842, 536 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.