GCD of 200, 556, 341, 481 Calculator

Given Input numbers are 200, 556, 341, 481

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

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 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Divisors of 481

List of positive integer divisors of 481 that divides 481 without a remainder.

1, 13, 37, 481

Greatest Common Divisior

We found the divisors of 200, 556, 341, 481 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 556, 341, 481 is 1.

Therefore, GCD of numbers 200, 556, 341, 481 is 1

Given Input Data is 200, 556, 341, 481

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

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

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 341 is 11 x 31

Prime Factorization of 481 is 13 x 37

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(200, 556) = 27800

GCD(200, 556) = ( 200 x 556 ) / 27800

GCD(200, 556) = 111200 / 27800

GCD(200, 556) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 341

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

LCM(4, 341) = 1364

GCD(4, 341) = ( 4 x 341 ) / 1364

GCD(4, 341) = 1364 / 1364

GCD(4, 341) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 481

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

LCM(1, 481) = 481

GCD(1, 481) = ( 1 x 481 ) / 481

GCD(1, 481) = 481 / 481

GCD(1, 481) = 1

GCD of 200, 556, 341, 481 is 1

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1. What is the GCD of 200, 556, 341, 481?

GCD of 200, 556, 341, 481 is 1

2. Where do I get the detailed procedure to find GCD of 200, 556, 341, 481?

You can find a detailed procedure to find GCD of 200, 556, 341, 481 on our page.

3. How to find GCD of 200, 556, 341, 481 on a calculator?

You can find the GCD of 200, 556, 341, 481 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.