GCD of 218, 391, 200 Calculator

Given Input numbers are 218, 391, 200

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

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

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

Greatest Common Divisior

We found the divisors of 218, 391, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 391, 200 is 1.

Therefore, GCD of numbers 218, 391, 200 is 1

Given Input Data is 218, 391, 200

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

Prime Factorization of 218 is 2 x 109

Prime Factorization of 391 is 17 x 23

Prime Factorization of 200 is 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(218, 391) = 85238

GCD(218, 391) = ( 218 x 391 ) / 85238

GCD(218, 391) = 85238 / 85238

GCD(218, 391) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

GCD of 218, 391, 200 is 1

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1. What is the GCD of 218, 391, 200?

GCD of 218, 391, 200 is 1

2. Where do I get the detailed procedure to find GCD of 218, 391, 200?

You can find a detailed procedure to find GCD of 218, 391, 200 on our page.

3. How to find GCD of 218, 391, 200 on a calculator?

You can find the GCD of 218, 391, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.