GCD of 431, 609, 871, 572 Calculator

Given Input numbers are 431, 609, 871, 572

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

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Greatest Common Divisior

We found the divisors of 431, 609, 871, 572 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 609, 871, 572 is 1.

Therefore, GCD of numbers 431, 609, 871, 572 is 1

Given Input Data is 431, 609, 871, 572

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

Prime Factorization of 431 is 431

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 871 is 13 x 67

Prime Factorization of 572 is 2 x 2 x 11 x 13

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(431, 609) = 262479

GCD(431, 609) = ( 431 x 609 ) / 262479

GCD(431, 609) = 262479 / 262479

GCD(431, 609) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 871

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

LCM(1, 871) = 871

GCD(1, 871) = ( 1 x 871 ) / 871

GCD(1, 871) = 871 / 871

GCD(1, 871) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 572

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

LCM(1, 572) = 572

GCD(1, 572) = ( 1 x 572 ) / 572

GCD(1, 572) = 572 / 572

GCD(1, 572) = 1

GCD of 431, 609, 871, 572 is 1

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1. What is the GCD of 431, 609, 871, 572?

GCD of 431, 609, 871, 572 is 1

2. Where do I get the detailed procedure to find GCD of 431, 609, 871, 572?

You can find a detailed procedure to find GCD of 431, 609, 871, 572 on our page.

3. How to find GCD of 431, 609, 871, 572 on a calculator?

You can find the GCD of 431, 609, 871, 572 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.