GCD of 500, 538, 320, 844 Calculator

Given Input numbers are 500, 538, 320, 844

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

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 844

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

1, 2, 4, 211, 422, 844

Greatest Common Divisior

We found the divisors of 500, 538, 320, 844 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 538, 320, 844 is 2.

Therefore, GCD of numbers 500, 538, 320, 844 is 2

Given Input Data is 500, 538, 320, 844

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 538 is 2 x 269

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 844 is 2 x 2 x 211

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(500, 538) = 134500

GCD(500, 538) = ( 500 x 538 ) / 134500

GCD(500, 538) = 269000 / 134500

GCD(500, 538) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 320

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

LCM(2, 320) = 320

GCD(2, 320) = ( 2 x 320 ) / 320

GCD(2, 320) = 640 / 320

GCD(2, 320) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 844

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

LCM(2, 844) = 844

GCD(2, 844) = ( 2 x 844 ) / 844

GCD(2, 844) = 1688 / 844

GCD(2, 844) = 2

GCD of 500, 538, 320, 844 is 2

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• GCD of 692, 224, 321, 384
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• GCD of 847, 638, 181, 886

1. What is the GCD of 500, 538, 320, 844?

GCD of 500, 538, 320, 844 is 2

2. Where do I get the detailed procedure to find GCD of 500, 538, 320, 844?

You can find a detailed procedure to find GCD of 500, 538, 320, 844 on our page.

3. How to find GCD of 500, 538, 320, 844 on a calculator?

You can find the GCD of 500, 538, 320, 844 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.