GCD of 822, 406, 42, 907 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 822, 406, 42, 907 i.e. 1 largest integer that divides all the numbers equally.

GCD of 822, 406, 42, 907 is 1

GCD(822, 406, 42, 907) = 1

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

GCD of

GCD of numbers 822, 406, 42, 907 is 1

GCD(822, 406, 42, 907) = 1

GCD of 822,406,42,907 Calculator

GCDof 822,406,42,907 is 1

Given Input numbers are 822, 406, 42, 907

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

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 907

List of positive integer divisors of 907 that divides 907 without a remainder.

1, 907

Greatest Common Divisior

We found the divisors of 822, 406, 42, 907 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 406, 42, 907 is 1.

Therefore, GCD of numbers 822, 406, 42, 907 is 1

Finding GCD of 822, 406, 42, 907 using Prime Factorization

Given Input Data is 822, 406, 42, 907

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

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 907 is 907

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

Finding GCD of 822, 406, 42, 907 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(822, 406) = 166866

GCD(822, 406) = ( 822 x 406 ) / 166866

GCD(822, 406) = 333732 / 166866

GCD(822, 406) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

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

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 907

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

LCM(2, 907) = 1814

GCD(2, 907) = ( 2 x 907 ) / 1814

GCD(2, 907) = 1814 / 1814

GCD(2, 907) = 1

GCD of 822, 406, 42, 907 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 822, 406, 42, 907

1. What is the GCD of 822, 406, 42, 907?

GCD of 822, 406, 42, 907 is 1


2. Where do I get the detailed procedure to find GCD of 822, 406, 42, 907?

You can find a detailed procedure to find GCD of 822, 406, 42, 907 on our page.


3. How to find GCD of 822, 406, 42, 907 on a calculator?

You can find the GCD of 822, 406, 42, 907 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.