GCD of 208, 327, 582, 400 Calculator

Given Input numbers are 208, 327, 582, 400

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 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

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

Greatest Common Divisior

We found the divisors of 208, 327, 582, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 327, 582, 400 is 1.

Therefore, GCD of numbers 208, 327, 582, 400 is 1

Given Input Data is 208, 327, 582, 400

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 327 is 3 x 109

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

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, 327) = 68016

GCD(208, 327) = ( 208 x 327 ) / 68016

GCD(208, 327) = 68016 / 68016

GCD(208, 327) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 582

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

LCM(1, 582) = 582

GCD(1, 582) = ( 1 x 582 ) / 582

GCD(1, 582) = 582 / 582

GCD(1, 582) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 208, 327, 582, 400 is 1

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1. What is the GCD of 208, 327, 582, 400?

GCD of 208, 327, 582, 400 is 1

2. Where do I get the detailed procedure to find GCD of 208, 327, 582, 400?

You can find a detailed procedure to find GCD of 208, 327, 582, 400 on our page.

3. How to find GCD of 208, 327, 582, 400 on a calculator?

You can find the GCD of 208, 327, 582, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.