GCD of 844, 698, 800, 596 Calculator

Given Input numbers are 844, 698, 800, 596

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

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Greatest Common Divisior

We found the divisors of 844, 698, 800, 596 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 844, 698, 800, 596 is 2.

Therefore, GCD of numbers 844, 698, 800, 596 is 2

Given Input Data is 844, 698, 800, 596

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

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 698 is 2 x 349

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 596 is 2 x 2 x 149

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(844, 698) = 294556

GCD(844, 698) = ( 844 x 698 ) / 294556

GCD(844, 698) = 589112 / 294556

GCD(844, 698) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 800

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

LCM(2, 800) = 800

GCD(2, 800) = ( 2 x 800 ) / 800

GCD(2, 800) = 1600 / 800

GCD(2, 800) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 596

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

LCM(2, 596) = 596

GCD(2, 596) = ( 2 x 596 ) / 596

GCD(2, 596) = 1192 / 596

GCD(2, 596) = 2

GCD of 844, 698, 800, 596 is 2

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1. What is the GCD of 844, 698, 800, 596?

GCD of 844, 698, 800, 596 is 2

2. Where do I get the detailed procedure to find GCD of 844, 698, 800, 596?

You can find a detailed procedure to find GCD of 844, 698, 800, 596 on our page.

3. How to find GCD of 844, 698, 800, 596 on a calculator?

You can find the GCD of 844, 698, 800, 596 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.