GCD of 796, 994, 28, 906 Calculator

Given Input numbers are 796, 994, 28, 906

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

Divisors of 796

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

1, 2, 4, 199, 398, 796

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 28

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

1, 2, 4, 7, 14, 28

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Greatest Common Divisior

We found the divisors of 796, 994, 28, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 796, 994, 28, 906 is 2.

Therefore, GCD of numbers 796, 994, 28, 906 is 2

Given Input Data is 796, 994, 28, 906

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

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 906 is 2 x 3 x 151

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(796, 994) = 395612

GCD(796, 994) = ( 796 x 994 ) / 395612

GCD(796, 994) = 791224 / 395612

GCD(796, 994) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 28

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

LCM(2, 28) = 28

GCD(2, 28) = ( 2 x 28 ) / 28

GCD(2, 28) = 56 / 28

GCD(2, 28) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 906

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

LCM(2, 906) = 906

GCD(2, 906) = ( 2 x 906 ) / 906

GCD(2, 906) = 1812 / 906

GCD(2, 906) = 2

GCD of 796, 994, 28, 906 is 2

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1. What is the GCD of 796, 994, 28, 906?

GCD of 796, 994, 28, 906 is 2

2. Where do I get the detailed procedure to find GCD of 796, 994, 28, 906?

You can find a detailed procedure to find GCD of 796, 994, 28, 906 on our page.

3. How to find GCD of 796, 994, 28, 906 on a calculator?

You can find the GCD of 796, 994, 28, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.