GCD of 904, 200, 622, 796 Calculator

Given Input numbers are 904, 200, 622, 796

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

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Divisors of 796

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

1, 2, 4, 199, 398, 796

Greatest Common Divisior

We found the divisors of 904, 200, 622, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 200, 622, 796 is 2.

Therefore, GCD of numbers 904, 200, 622, 796 is 2

Given Input Data is 904, 200, 622, 796

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

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 622 is 2 x 311

Prime Factorization of 796 is 2 x 2 x 199

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(904, 200) = 22600

GCD(904, 200) = ( 904 x 200 ) / 22600

GCD(904, 200) = 180800 / 22600

GCD(904, 200) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 622

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

LCM(8, 622) = 2488

GCD(8, 622) = ( 8 x 622 ) / 2488

GCD(8, 622) = 4976 / 2488

GCD(8, 622) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 796

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

LCM(2, 796) = 796

GCD(2, 796) = ( 2 x 796 ) / 796

GCD(2, 796) = 1592 / 796

GCD(2, 796) = 2

GCD of 904, 200, 622, 796 is 2

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1. What is the GCD of 904, 200, 622, 796?

GCD of 904, 200, 622, 796 is 2

2. Where do I get the detailed procedure to find GCD of 904, 200, 622, 796?

You can find a detailed procedure to find GCD of 904, 200, 622, 796 on our page.

3. How to find GCD of 904, 200, 622, 796 on a calculator?

You can find the GCD of 904, 200, 622, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.