GCD of 250, 816, 21, 936 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 250, 816, 21, 936 i.e. 1 largest integer that divides all the numbers equally.

GCD of 250, 816, 21, 936 is 1

GCD(250, 816, 21, 936) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 250, 816, 21, 936 is 1

GCD(250, 816, 21, 936) = 1

GCD of 250,816,21,936 Calculator

GCDof 250,816,21,936 is 1

Given Input numbers are 250, 816, 21, 936

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

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

Greatest Common Divisior

We found the divisors of 250, 816, 21, 936 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 816, 21, 936 is 1.

Therefore, GCD of numbers 250, 816, 21, 936 is 1

Finding GCD of 250, 816, 21, 936 using Prime Factorization

Given Input Data is 250, 816, 21, 936

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 250 is 2 x 5 x 5 x 5

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 21 is 3 x 7

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 250, 816, 21, 936 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(250, 816) = 102000

GCD(250, 816) = ( 250 x 816 ) / 102000

GCD(250, 816) = 204000 / 102000

GCD(250, 816) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 21

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 21) = 42

GCD(2, 21) = ( 2 x 21 ) / 42

GCD(2, 21) = 42 / 42

GCD(2, 21) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 936

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 936) = 936

GCD(1, 936) = ( 1 x 936 ) / 936

GCD(1, 936) = 936 / 936

GCD(1, 936) = 1

GCD of 250, 816, 21, 936 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 250, 816, 21, 936

1. What is the GCD of 250, 816, 21, 936?

GCD of 250, 816, 21, 936 is 1


2. Where do I get the detailed procedure to find GCD of 250, 816, 21, 936?

You can find a detailed procedure to find GCD of 250, 816, 21, 936 on our page.


3. How to find GCD of 250, 816, 21, 936 on a calculator?

You can find the GCD of 250, 816, 21, 936 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.