GCD of 936, 649, 19, 369 Calculator

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

GCD of numbers 936, 649, 19, 369 is 1

GCD(936, 649, 19, 369) = 1

GCD of 936,649,19,369 Calculator

GCDof 936,649,19,369 is 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

Finding GCD of 936, 649, 19, 369 using Prime Factorization

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

Finding GCD of 936, 649, 19, 369 using LCM Formula

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

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 936, 649, 19, 369

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.