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 236, 823, 13, 723 i.e. 1 largest integer that divides all the numbers equally.
GCD of 236, 823, 13, 723 is 1
GCD(236, 823, 13, 723) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 236, 823, 13, 723 is 1
GCD(236, 823, 13, 723) = 1
Given Input numbers are 236, 823, 13, 723
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 723
List of positive integer divisors of 723 that divides 723 without a remainder.
1, 3, 241, 723
Greatest Common Divisior
We found the divisors of 236, 823, 13, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 236, 823, 13, 723 is 1.
Therefore, GCD of numbers 236, 823, 13, 723 is 1
Given Input Data is 236, 823, 13, 723
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 236 is 2 x 2 x 59
Prime Factorization of 823 is 823
Prime Factorization of 13 is 13
Prime Factorization of 723 is 3 x 241
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(236, 823) = 194228
GCD(236, 823) = ( 236 x 823 ) / 194228
GCD(236, 823) = 194228 / 194228
GCD(236, 823) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 13) = 13
GCD(1, 13) = ( 1 x 13 ) / 13
GCD(1, 13) = 13 / 13
GCD(1, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 723
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 723) = 723
GCD(1, 723) = ( 1 x 723 ) / 723
GCD(1, 723) = 723 / 723
GCD(1, 723) = 1
GCD of 236, 823, 13, 723 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 236, 823, 13, 723?
GCD of 236, 823, 13, 723 is 1
2. Where do I get the detailed procedure to find GCD of 236, 823, 13, 723?
You can find a detailed procedure to find GCD of 236, 823, 13, 723 on our page.
3. How to find GCD of 236, 823, 13, 723 on a calculator?
You can find the GCD of 236, 823, 13, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.