GCD of 271, 401, 645, 204 Calculator

Given Input numbers are 271, 401, 645, 204

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

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 401

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

1, 401

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Greatest Common Divisior

We found the divisors of 271, 401, 645, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 271, 401, 645, 204 is 1.

Therefore, GCD of numbers 271, 401, 645, 204 is 1

Given Input Data is 271, 401, 645, 204

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

Prime Factorization of 271 is 271

Prime Factorization of 401 is 401

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 204 is 2 x 2 x 3 x 17

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(271, 401) = 108671

GCD(271, 401) = ( 271 x 401 ) / 108671

GCD(271, 401) = 108671 / 108671

GCD(271, 401) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 645

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

LCM(1, 645) = 645

GCD(1, 645) = ( 1 x 645 ) / 645

GCD(1, 645) = 645 / 645

GCD(1, 645) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 204

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

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

GCD(1, 204) = 204 / 204

GCD(1, 204) = 1

GCD of 271, 401, 645, 204 is 1

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1. What is the GCD of 271, 401, 645, 204?

GCD of 271, 401, 645, 204 is 1

2. Where do I get the detailed procedure to find GCD of 271, 401, 645, 204?

You can find a detailed procedure to find GCD of 271, 401, 645, 204 on our page.

3. How to find GCD of 271, 401, 645, 204 on a calculator?

You can find the GCD of 271, 401, 645, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.