GCD of 221, 643, 906, 872 Calculator

Given Input numbers are 221, 643, 906, 872

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

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

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 221, 643, 906, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 643, 906, 872 is 1.

Therefore, GCD of numbers 221, 643, 906, 872 is 1

Given Input Data is 221, 643, 906, 872

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

Prime Factorization of 221 is 13 x 17

Prime Factorization of 643 is 643

Prime Factorization of 906 is 2 x 3 x 151

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(221, 643) = 142103

GCD(221, 643) = ( 221 x 643 ) / 142103

GCD(221, 643) = 142103 / 142103

GCD(221, 643) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 906

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

LCM(1, 906) = 906

GCD(1, 906) = ( 1 x 906 ) / 906

GCD(1, 906) = 906 / 906

GCD(1, 906) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

GCD of 221, 643, 906, 872 is 1

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1. What is the GCD of 221, 643, 906, 872?

GCD of 221, 643, 906, 872 is 1

2. Where do I get the detailed procedure to find GCD of 221, 643, 906, 872?

You can find a detailed procedure to find GCD of 221, 643, 906, 872 on our page.

3. How to find GCD of 221, 643, 906, 872 on a calculator?

You can find the GCD of 221, 643, 906, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.