GCD of 909, 201, 872 Calculator

Given Input numbers are 909, 201, 872

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

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 909, 201, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 201, 872 is 1.

Therefore, GCD of numbers 909, 201, 872 is 1

Given Input Data is 909, 201, 872

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

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 201 is 3 x 67

Prime Factorization of 872 is 2 x 2 x 2 x 109

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(909, 201) = 60903

GCD(909, 201) = ( 909 x 201 ) / 60903

GCD(909, 201) = 182709 / 60903

GCD(909, 201) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 872

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

LCM(3, 872) = 2616

GCD(3, 872) = ( 3 x 872 ) / 2616

GCD(3, 872) = 2616 / 2616

GCD(3, 872) = 1

GCD of 909, 201, 872 is 1

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1. What is the GCD of 909, 201, 872?

GCD of 909, 201, 872 is 1

2. Where do I get the detailed procedure to find GCD of 909, 201, 872?

You can find a detailed procedure to find GCD of 909, 201, 872 on our page.

3. How to find GCD of 909, 201, 872 on a calculator?

You can find the GCD of 909, 201, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.