GCD of 390, 822, 944, 326 Calculator

Given Input numbers are 390, 822, 944, 326

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

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 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Greatest Common Divisior

We found the divisors of 390, 822, 944, 326 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 822, 944, 326 is 2.

Therefore, GCD of numbers 390, 822, 944, 326 is 2

Given Input Data is 390, 822, 944, 326

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 326 is 2 x 163

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(390, 822) = 53430

GCD(390, 822) = ( 390 x 822 ) / 53430

GCD(390, 822) = 320580 / 53430

GCD(390, 822) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 944

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

LCM(6, 944) = 2832

GCD(6, 944) = ( 6 x 944 ) / 2832

GCD(6, 944) = 5664 / 2832

GCD(6, 944) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 326

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

LCM(2, 326) = 326

GCD(2, 326) = ( 2 x 326 ) / 326

GCD(2, 326) = 652 / 326

GCD(2, 326) = 2

GCD of 390, 822, 944, 326 is 2

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1. What is the GCD of 390, 822, 944, 326?

GCD of 390, 822, 944, 326 is 2

2. Where do I get the detailed procedure to find GCD of 390, 822, 944, 326?

You can find a detailed procedure to find GCD of 390, 822, 944, 326 on our page.

3. How to find GCD of 390, 822, 944, 326 on a calculator?

You can find the GCD of 390, 822, 944, 326 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.