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, 441, 38, 177 i.e. 1 largest integer that divides all the numbers equally.
GCD of 936, 441, 38, 177 is 1
GCD(936, 441, 38, 177) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 936, 441, 38, 177 is 1
GCD(936, 441, 38, 177) = 1
Given Input numbers are 936, 441, 38, 177
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 441
List of positive integer divisors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Greatest Common Divisior
We found the divisors of 936, 441, 38, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 936, 441, 38, 177 is 1.
Therefore, GCD of numbers 936, 441, 38, 177 is 1
Given Input Data is 936, 441, 38, 177
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 441 is 3 x 3 x 7 x 7
Prime Factorization of 38 is 2 x 19
Prime Factorization of 177 is 3 x 59
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, 441) = 45864
GCD(936, 441) = ( 936 x 441 ) / 45864
GCD(936, 441) = 412776 / 45864
GCD(936, 441) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 38) = 342
GCD(9, 38) = ( 9 x 38 ) / 342
GCD(9, 38) = 342 / 342
GCD(9, 38) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 177
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 177) = 177
GCD(1, 177) = ( 1 x 177 ) / 177
GCD(1, 177) = 177 / 177
GCD(1, 177) = 1
GCD of 936, 441, 38, 177 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 936, 441, 38, 177?
GCD of 936, 441, 38, 177 is 1
2. Where do I get the detailed procedure to find GCD of 936, 441, 38, 177?
You can find a detailed procedure to find GCD of 936, 441, 38, 177 on our page.
3. How to find GCD of 936, 441, 38, 177 on a calculator?
You can find the GCD of 936, 441, 38, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.