GCD of 208, 900, 518 Calculator

Given Input numbers are 208, 900, 518

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

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 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Greatest Common Divisior

We found the divisors of 208, 900, 518 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 900, 518 is 2.

Therefore, GCD of numbers 208, 900, 518 is 2

Given Input Data is 208, 900, 518

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

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

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 518 is 2 x 7 x 37

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(208, 900) = 46800

GCD(208, 900) = ( 208 x 900 ) / 46800

GCD(208, 900) = 187200 / 46800

GCD(208, 900) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 518

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

LCM(4, 518) = 1036

GCD(4, 518) = ( 4 x 518 ) / 1036

GCD(4, 518) = 2072 / 1036

GCD(4, 518) = 2

GCD of 208, 900, 518 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 732, 689, 234
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1. What is the GCD of 208, 900, 518?

GCD of 208, 900, 518 is 2

2. Where do I get the detailed procedure to find GCD of 208, 900, 518?

You can find a detailed procedure to find GCD of 208, 900, 518 on our page.

3. How to find GCD of 208, 900, 518 on a calculator?

You can find the GCD of 208, 900, 518 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.