GCD of 271, 654, 20 Calculator

Given Input numbers are 271, 654, 20

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 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Greatest Common Divisior

We found the divisors of 271, 654, 20 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 271, 654, 20 is 1.

Therefore, GCD of numbers 271, 654, 20 is 1

Given Input Data is 271, 654, 20

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

Prime Factorization of 271 is 271

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 20 is 2 x 2 x 5

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, 654) = 177234

GCD(271, 654) = ( 271 x 654 ) / 177234

GCD(271, 654) = 177234 / 177234

GCD(271, 654) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

GCD of 271, 654, 20 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 164, 586, 12
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1. What is the GCD of 271, 654, 20?

GCD of 271, 654, 20 is 1

2. Where do I get the detailed procedure to find GCD of 271, 654, 20?

You can find a detailed procedure to find GCD of 271, 654, 20 on our page.

3. How to find GCD of 271, 654, 20 on a calculator?

You can find the GCD of 271, 654, 20 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.