GCD of 369, 808, 218 Calculator

Given Input numbers are 369, 808, 218

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 218

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

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 369, 808, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 808, 218 is 1.

Therefore, GCD of numbers 369, 808, 218 is 1

Given Input Data is 369, 808, 218

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 218 is 2 x 109

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(369, 808) = 298152

GCD(369, 808) = ( 369 x 808 ) / 298152

GCD(369, 808) = 298152 / 298152

GCD(369, 808) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

GCD of 369, 808, 218 is 1

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1. What is the GCD of 369, 808, 218?

GCD of 369, 808, 218 is 1

2. Where do I get the detailed procedure to find GCD of 369, 808, 218?

You can find a detailed procedure to find GCD of 369, 808, 218 on our page.

3. How to find GCD of 369, 808, 218 on a calculator?

You can find the GCD of 369, 808, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.