GCD of 585, 636, 42, 271 Calculator

Given Input numbers are 585, 636, 42, 271

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

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 271

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

1, 271

Greatest Common Divisior

We found the divisors of 585, 636, 42, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 636, 42, 271 is 1.

Therefore, GCD of numbers 585, 636, 42, 271 is 1

Given Input Data is 585, 636, 42, 271

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

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 271 is 271

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(585, 636) = 124020

GCD(585, 636) = ( 585 x 636 ) / 124020

GCD(585, 636) = 372060 / 124020

GCD(585, 636) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 42

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

LCM(3, 42) = 42

GCD(3, 42) = ( 3 x 42 ) / 42

GCD(3, 42) = 126 / 42

GCD(3, 42) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 271

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

LCM(3, 271) = 813

GCD(3, 271) = ( 3 x 271 ) / 813

GCD(3, 271) = 813 / 813

GCD(3, 271) = 1

GCD of 585, 636, 42, 271 is 1

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• GCD of 222, 381, 60, 468
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1. What is the GCD of 585, 636, 42, 271?

GCD of 585, 636, 42, 271 is 1

2. Where do I get the detailed procedure to find GCD of 585, 636, 42, 271?

You can find a detailed procedure to find GCD of 585, 636, 42, 271 on our page.

3. How to find GCD of 585, 636, 42, 271 on a calculator?

You can find the GCD of 585, 636, 42, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.