GCD of 822, 444, 386, 796 Calculator

Given Input numbers are 822, 444, 386, 796

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 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Greatest Common Divisior

We found the divisors of 822, 444, 386, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 444, 386, 796 is 2.

Therefore, GCD of numbers 822, 444, 386, 796 is 2

Given Input Data is 822, 444, 386, 796

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 444 is 2 x 2 x 3 x 37

Prime Factorization of 386 is 2 x 193

Prime Factorization of 796 is 2 x 2 x 199

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(822, 444) = 60828

GCD(822, 444) = ( 822 x 444 ) / 60828

GCD(822, 444) = 364968 / 60828

GCD(822, 444) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 386

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

LCM(6, 386) = 1158

GCD(6, 386) = ( 6 x 386 ) / 1158

GCD(6, 386) = 2316 / 1158

GCD(6, 386) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 796

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

LCM(2, 796) = 796

GCD(2, 796) = ( 2 x 796 ) / 796

GCD(2, 796) = 1592 / 796

GCD(2, 796) = 2

GCD of 822, 444, 386, 796 is 2

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1. What is the GCD of 822, 444, 386, 796?

GCD of 822, 444, 386, 796 is 2

2. Where do I get the detailed procedure to find GCD of 822, 444, 386, 796?

You can find a detailed procedure to find GCD of 822, 444, 386, 796 on our page.

3. How to find GCD of 822, 444, 386, 796 on a calculator?

You can find the GCD of 822, 444, 386, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.