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 372, 105, 936, 827 i.e. 1 largest integer that divides all the numbers equally.
GCD of 372, 105, 936, 827 is 1
GCD(372, 105, 936, 827) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 372, 105, 936, 827 is 1
GCD(372, 105, 936, 827) = 1
Given Input numbers are 372, 105, 936, 827
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
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 827
List of positive integer divisors of 827 that divides 827 without a remainder.
1, 827
Greatest Common Divisior
We found the divisors of 372, 105, 936, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 105, 936, 827 is 1.
Therefore, GCD of numbers 372, 105, 936, 827 is 1
Given Input Data is 372, 105, 936, 827
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 372 is 2 x 2 x 3 x 31
Prime Factorization of 105 is 3 x 5 x 7
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
Prime Factorization of 827 is 827
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(372, 105) = 13020
GCD(372, 105) = ( 372 x 105 ) / 13020
GCD(372, 105) = 39060 / 13020
GCD(372, 105) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 936
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 936) = 936
GCD(3, 936) = ( 3 x 936 ) / 936
GCD(3, 936) = 2808 / 936
GCD(3, 936) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 827
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 827) = 2481
GCD(3, 827) = ( 3 x 827 ) / 2481
GCD(3, 827) = 2481 / 2481
GCD(3, 827) = 1
GCD of 372, 105, 936, 827 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 372, 105, 936, 827?
GCD of 372, 105, 936, 827 is 1
2. Where do I get the detailed procedure to find GCD of 372, 105, 936, 827?
You can find a detailed procedure to find GCD of 372, 105, 936, 827 on our page.
3. How to find GCD of 372, 105, 936, 827 on a calculator?
You can find the GCD of 372, 105, 936, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.