GCD of 815, 200, 520 Calculator

Given Input numbers are 815, 200, 520

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

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

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 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Greatest Common Divisior

We found the divisors of 815, 200, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 815, 200, 520 is 5.

Therefore, GCD of numbers 815, 200, 520 is 5

Given Input Data is 815, 200, 520

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

Prime Factorization of 815 is 5 x 163

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

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(815, 200) = 32600

GCD(815, 200) = ( 815 x 200 ) / 32600

GCD(815, 200) = 163000 / 32600

GCD(815, 200) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 520

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

LCM(5, 520) = 520

GCD(5, 520) = ( 5 x 520 ) / 520

GCD(5, 520) = 2600 / 520

GCD(5, 520) = 5

GCD of 815, 200, 520 is 5

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1. What is the GCD of 815, 200, 520?

GCD of 815, 200, 520 is 5

2. Where do I get the detailed procedure to find GCD of 815, 200, 520?

You can find a detailed procedure to find GCD of 815, 200, 520 on our page.

3. How to find GCD of 815, 200, 520 on a calculator?

You can find the GCD of 815, 200, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.