GCD of 218, 673, 344, 404 Calculator

Given Input numbers are 218, 673, 344, 404

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 673

List of positive integer divisors of 673 that divides 673 without a remainder.

1, 673

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 218, 673, 344, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 673, 344, 404 is 1.

Therefore, GCD of numbers 218, 673, 344, 404 is 1

Given Input Data is 218, 673, 344, 404

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

Prime Factorization of 218 is 2 x 109

Prime Factorization of 673 is 673

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 404 is 2 x 2 x 101

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, 673) = 146714

GCD(218, 673) = ( 218 x 673 ) / 146714

GCD(218, 673) = 146714 / 146714

GCD(218, 673) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 404

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

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

GCD(1, 404) = 404 / 404

GCD(1, 404) = 1

GCD of 218, 673, 344, 404 is 1

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1. What is the GCD of 218, 673, 344, 404?

GCD of 218, 673, 344, 404 is 1

2. Where do I get the detailed procedure to find GCD of 218, 673, 344, 404?

You can find a detailed procedure to find GCD of 218, 673, 344, 404 on our page.

3. How to find GCD of 218, 673, 344, 404 on a calculator?

You can find the GCD of 218, 673, 344, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.