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, 909, 832, 936 i.e. 1 largest integer that divides all the numbers equally.
GCD of 23, 909, 832, 936 is 1
GCD(23, 909, 832, 936) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 23, 909, 832, 936 is 1
GCD(23, 909, 832, 936) = 1
Given Input numbers are 23, 909, 832, 936
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 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Divisors of 832
List of positive integer divisors of 832 that divides 832 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 936
List of positive integer divisors of 936 that divides 936 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Greatest Common Divisior
We found the divisors of 23, 909, 832, 936 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 909, 832, 936 is 1.
Therefore, GCD of numbers 23, 909, 832, 936 is 1
Given Input Data is 23, 909, 832, 936
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 23 is 23
Prime Factorization of 909 is 3 x 3 x 101
Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
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, 909) = 20907
GCD(23, 909) = ( 23 x 909 ) / 20907
GCD(23, 909) = 20907 / 20907
GCD(23, 909) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 832
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 832) = 832
GCD(1, 832) = ( 1 x 832 ) / 832
GCD(1, 832) = 832 / 832
GCD(1, 832) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 936
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 936) = 936
GCD(1, 936) = ( 1 x 936 ) / 936
GCD(1, 936) = 936 / 936
GCD(1, 936) = 1
GCD of 23, 909, 832, 936 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 23, 909, 832, 936?
GCD of 23, 909, 832, 936 is 1
2. Where do I get the detailed procedure to find GCD of 23, 909, 832, 936?
You can find a detailed procedure to find GCD of 23, 909, 832, 936 on our page.
3. How to find GCD of 23, 909, 832, 936 on a calculator?
You can find the GCD of 23, 909, 832, 936 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.