GCD of 324, 996, 836, 822 Calculator

Given Input numbers are 324, 996, 836, 822

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

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 822

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

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

Greatest Common Divisior

We found the divisors of 324, 996, 836, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 996, 836, 822 is 2.

Therefore, GCD of numbers 324, 996, 836, 822 is 2

Given Input Data is 324, 996, 836, 822

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

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 836 is 2 x 2 x 11 x 19

Prime Factorization of 822 is 2 x 3 x 137

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(324, 996) = 26892

GCD(324, 996) = ( 324 x 996 ) / 26892

GCD(324, 996) = 322704 / 26892

GCD(324, 996) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 836

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

LCM(12, 836) = 2508

GCD(12, 836) = ( 12 x 836 ) / 2508

GCD(12, 836) = 10032 / 2508

GCD(12, 836) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 822

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

LCM(4, 822) = 1644

GCD(4, 822) = ( 4 x 822 ) / 1644

GCD(4, 822) = 3288 / 1644

GCD(4, 822) = 2

GCD of 324, 996, 836, 822 is 2

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1. What is the GCD of 324, 996, 836, 822?

GCD of 324, 996, 836, 822 is 2

2. Where do I get the detailed procedure to find GCD of 324, 996, 836, 822?

You can find a detailed procedure to find GCD of 324, 996, 836, 822 on our page.

3. How to find GCD of 324, 996, 836, 822 on a calculator?

You can find the GCD of 324, 996, 836, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.