GCD of 18, 217, 644, 311 Calculator

Given Input numbers are 18, 217, 644, 311

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

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Greatest Common Divisior

We found the divisors of 18, 217, 644, 311 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 217, 644, 311 is 1.

Therefore, GCD of numbers 18, 217, 644, 311 is 1

Given Input Data is 18, 217, 644, 311

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 217 is 7 x 31

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 311 is 311

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(18, 217) = 3906

GCD(18, 217) = ( 18 x 217 ) / 3906

GCD(18, 217) = 3906 / 3906

GCD(18, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 644

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

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

GCD(1, 644) = 644 / 644

GCD(1, 644) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 311

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

LCM(1, 311) = 311

GCD(1, 311) = ( 1 x 311 ) / 311

GCD(1, 311) = 311 / 311

GCD(1, 311) = 1

GCD of 18, 217, 644, 311 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 38, 928, 438, 825
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• GCD of 57, 561, 868, 674

1. What is the GCD of 18, 217, 644, 311?

GCD of 18, 217, 644, 311 is 1

2. Where do I get the detailed procedure to find GCD of 18, 217, 644, 311?

You can find a detailed procedure to find GCD of 18, 217, 644, 311 on our page.

3. How to find GCD of 18, 217, 644, 311 on a calculator?

You can find the GCD of 18, 217, 644, 311 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.