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 936, 472, 905, 133 i.e. 1 largest integer that divides all the numbers equally.
GCD of 936, 472, 905, 133 is 1
GCD(936, 472, 905, 133) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 936, 472, 905, 133 is 1
GCD(936, 472, 905, 133) = 1
Given Input numbers are 936, 472, 905, 133
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 905
List of positive integer divisors of 905 that divides 905 without a remainder.
1, 5, 181, 905
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Greatest Common Divisior
We found the divisors of 936, 472, 905, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 936, 472, 905, 133 is 1.
Therefore, GCD of numbers 936, 472, 905, 133 is 1
Given Input Data is 936, 472, 905, 133
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
Prime Factorization of 472 is 2 x 2 x 2 x 59
Prime Factorization of 905 is 5 x 181
Prime Factorization of 133 is 7 x 19
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(936, 472) = 55224
GCD(936, 472) = ( 936 x 472 ) / 55224
GCD(936, 472) = 441792 / 55224
GCD(936, 472) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 905
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 905) = 7240
GCD(8, 905) = ( 8 x 905 ) / 7240
GCD(8, 905) = 7240 / 7240
GCD(8, 905) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 133
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 133) = 133
GCD(1, 133) = ( 1 x 133 ) / 133
GCD(1, 133) = 133 / 133
GCD(1, 133) = 1
GCD of 936, 472, 905, 133 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 936, 472, 905, 133?
GCD of 936, 472, 905, 133 is 1
2. Where do I get the detailed procedure to find GCD of 936, 472, 905, 133?
You can find a detailed procedure to find GCD of 936, 472, 905, 133 on our page.
3. How to find GCD of 936, 472, 905, 133 on a calculator?
You can find the GCD of 936, 472, 905, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.