GCD of 396, 894, 826, 866 Calculator

Given Input numbers are 396, 894, 826, 866

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

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Greatest Common Divisior

We found the divisors of 396, 894, 826, 866 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 894, 826, 866 is 2.

Therefore, GCD of numbers 396, 894, 826, 866 is 2

Given Input Data is 396, 894, 826, 866

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

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 866 is 2 x 433

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(396, 894) = 59004

GCD(396, 894) = ( 396 x 894 ) / 59004

GCD(396, 894) = 354024 / 59004

GCD(396, 894) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 826

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

LCM(6, 826) = 2478

GCD(6, 826) = ( 6 x 826 ) / 2478

GCD(6, 826) = 4956 / 2478

GCD(6, 826) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 866

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

LCM(2, 866) = 866

GCD(2, 866) = ( 2 x 866 ) / 866

GCD(2, 866) = 1732 / 866

GCD(2, 866) = 2

GCD of 396, 894, 826, 866 is 2

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 396, 894, 826, 866?

GCD of 396, 894, 826, 866 is 2

2. Where do I get the detailed procedure to find GCD of 396, 894, 826, 866?

You can find a detailed procedure to find GCD of 396, 894, 826, 866 on our page.

3. How to find GCD of 396, 894, 826, 866 on a calculator?

You can find the GCD of 396, 894, 826, 866 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.