GCD of 822, 981, 28, 296 Calculator

Given Input numbers are 822, 981, 28, 296

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 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Greatest Common Divisior

We found the divisors of 822, 981, 28, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 981, 28, 296 is 1.

Therefore, GCD of numbers 822, 981, 28, 296 is 1

Given Input Data is 822, 981, 28, 296

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 981 is 3 x 3 x 109

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 296 is 2 x 2 x 2 x 37

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

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, 981) = 268794

GCD(822, 981) = ( 822 x 981 ) / 268794

GCD(822, 981) = 806382 / 268794

GCD(822, 981) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 28

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

LCM(3, 28) = 84

GCD(3, 28) = ( 3 x 28 ) / 84

GCD(3, 28) = 84 / 84

GCD(3, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 296

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

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

GCD(1, 296) = 296 / 296

GCD(1, 296) = 1

GCD of 822, 981, 28, 296 is 1

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• GCD of 106, 129, 39, 141
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1. What is the GCD of 822, 981, 28, 296?

GCD of 822, 981, 28, 296 is 1

2. Where do I get the detailed procedure to find GCD of 822, 981, 28, 296?

You can find a detailed procedure to find GCD of 822, 981, 28, 296 on our page.

3. How to find GCD of 822, 981, 28, 296 on a calculator?

You can find the GCD of 822, 981, 28, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.