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, 649, 19, 369 i.e. 1 largest integer that divides all the numbers equally.
GCD of 936, 649, 19, 369 is 1
GCD(936, 649, 19, 369) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 936, 649, 19, 369 is 1
GCD(936, 649, 19, 369) = 1
Given Input numbers are 936, 649, 19, 369
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 649
List of positive integer divisors of 649 that divides 649 without a remainder.
1, 11, 59, 649
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Greatest Common Divisior
We found the divisors of 936, 649, 19, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 936, 649, 19, 369 is 1.
Therefore, GCD of numbers 936, 649, 19, 369 is 1
Given Input Data is 936, 649, 19, 369
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 649 is 11 x 59
Prime Factorization of 19 is 19
Prime Factorization of 369 is 3 x 3 x 41
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, 649) = 607464
GCD(936, 649) = ( 936 x 649 ) / 607464
GCD(936, 649) = 607464 / 607464
GCD(936, 649) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 19
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 19) = 19
GCD(1, 19) = ( 1 x 19 ) / 19
GCD(1, 19) = 19 / 19
GCD(1, 19) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 369
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 369) = 369
GCD(1, 369) = ( 1 x 369 ) / 369
GCD(1, 369) = 369 / 369
GCD(1, 369) = 1
GCD of 936, 649, 19, 369 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 936, 649, 19, 369?
GCD of 936, 649, 19, 369 is 1
2. Where do I get the detailed procedure to find GCD of 936, 649, 19, 369?
You can find a detailed procedure to find GCD of 936, 649, 19, 369 on our page.
3. How to find GCD of 936, 649, 19, 369 on a calculator?
You can find the GCD of 936, 649, 19, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.