GCD of 822, 738, 82, 944 Calculator

Given Input numbers are 822, 738, 82, 944

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 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

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

Greatest Common Divisior

We found the divisors of 822, 738, 82, 944 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 738, 82, 944 is 2.

Therefore, GCD of numbers 822, 738, 82, 944 is 2

Given Input Data is 822, 738, 82, 944

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 738 is 2 x 3 x 3 x 41

Prime Factorization of 82 is 2 x 41

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

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, 738) = 101106

GCD(822, 738) = ( 822 x 738 ) / 101106

GCD(822, 738) = 606636 / 101106

GCD(822, 738) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 82

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

LCM(6, 82) = 246

GCD(6, 82) = ( 6 x 82 ) / 246

GCD(6, 82) = 492 / 246

GCD(6, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 944

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

LCM(2, 944) = 944

GCD(2, 944) = ( 2 x 944 ) / 944

GCD(2, 944) = 1888 / 944

GCD(2, 944) = 2

GCD of 822, 738, 82, 944 is 2

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1. What is the GCD of 822, 738, 82, 944?

GCD of 822, 738, 82, 944 is 2

2. Where do I get the detailed procedure to find GCD of 822, 738, 82, 944?

You can find a detailed procedure to find GCD of 822, 738, 82, 944 on our page.

3. How to find GCD of 822, 738, 82, 944 on a calculator?

You can find the GCD of 822, 738, 82, 944 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.