GCD of 622, 936, 208, 804 Calculator

Given Input numbers are 622, 936, 208, 804

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

Divisors of 622

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

1, 2, 311, 622

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Greatest Common Divisior

We found the divisors of 622, 936, 208, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 622, 936, 208, 804 is 2.

Therefore, GCD of numbers 622, 936, 208, 804 is 2

Given Input Data is 622, 936, 208, 804

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

Prime Factorization of 622 is 2 x 311

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 804 is 2 x 2 x 3 x 67

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(622, 936) = 291096

GCD(622, 936) = ( 622 x 936 ) / 291096

GCD(622, 936) = 582192 / 291096

GCD(622, 936) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 208

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

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

GCD(2, 208) = 416 / 208

GCD(2, 208) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 804

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

LCM(2, 804) = 804

GCD(2, 804) = ( 2 x 804 ) / 804

GCD(2, 804) = 1608 / 804

GCD(2, 804) = 2

GCD of 622, 936, 208, 804 is 2

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1. What is the GCD of 622, 936, 208, 804?

GCD of 622, 936, 208, 804 is 2

2. Where do I get the detailed procedure to find GCD of 622, 936, 208, 804?

You can find a detailed procedure to find GCD of 622, 936, 208, 804 on our page.

3. How to find GCD of 622, 936, 208, 804 on a calculator?

You can find the GCD of 622, 936, 208, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.