GCD of 994, 276, 808, 884 Calculator

Given Input numbers are 994, 276, 808, 884

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

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Greatest Common Divisior

We found the divisors of 994, 276, 808, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 276, 808, 884 is 2.

Therefore, GCD of numbers 994, 276, 808, 884 is 2

Given Input Data is 994, 276, 808, 884

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

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 884 is 2 x 2 x 13 x 17

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(994, 276) = 137172

GCD(994, 276) = ( 994 x 276 ) / 137172

GCD(994, 276) = 274344 / 137172

GCD(994, 276) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 808

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

LCM(2, 808) = 808

GCD(2, 808) = ( 2 x 808 ) / 808

GCD(2, 808) = 1616 / 808

GCD(2, 808) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 884

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

LCM(2, 884) = 884

GCD(2, 884) = ( 2 x 884 ) / 884

GCD(2, 884) = 1768 / 884

GCD(2, 884) = 2

GCD of 994, 276, 808, 884 is 2

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1. What is the GCD of 994, 276, 808, 884?

GCD of 994, 276, 808, 884 is 2

2. Where do I get the detailed procedure to find GCD of 994, 276, 808, 884?

You can find a detailed procedure to find GCD of 994, 276, 808, 884 on our page.

3. How to find GCD of 994, 276, 808, 884 on a calculator?

You can find the GCD of 994, 276, 808, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.