GCD of 18, 309, 202, 401 Calculator

Given Input numbers are 18, 309, 202, 401

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 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Greatest Common Divisior

We found the divisors of 18, 309, 202, 401 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 309, 202, 401 is 1.

Therefore, GCD of numbers 18, 309, 202, 401 is 1

Given Input Data is 18, 309, 202, 401

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 309 is 3 x 103

Prime Factorization of 202 is 2 x 101

Prime Factorization of 401 is 401

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, 309) = 1854

GCD(18, 309) = ( 18 x 309 ) / 1854

GCD(18, 309) = 5562 / 1854

GCD(18, 309) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 202

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

LCM(3, 202) = 606

GCD(3, 202) = ( 3 x 202 ) / 606

GCD(3, 202) = 606 / 606

GCD(3, 202) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 401

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

LCM(1, 401) = 401

GCD(1, 401) = ( 1 x 401 ) / 401

GCD(1, 401) = 401 / 401

GCD(1, 401) = 1

GCD of 18, 309, 202, 401 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 855, 740, 810
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• GCD of 83, 659, 420, 891

1. What is the GCD of 18, 309, 202, 401?

GCD of 18, 309, 202, 401 is 1

2. Where do I get the detailed procedure to find GCD of 18, 309, 202, 401?

You can find a detailed procedure to find GCD of 18, 309, 202, 401 on our page.

3. How to find GCD of 18, 309, 202, 401 on a calculator?

You can find the GCD of 18, 309, 202, 401 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.