GCD of 636, 469, 109, 872 Calculator

Given Input numbers are 636, 469, 109, 872

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

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 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

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 636, 469, 109, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 636, 469, 109, 872 is 1.

Therefore, GCD of numbers 636, 469, 109, 872 is 1

Given Input Data is 636, 469, 109, 872

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

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

Prime Factorization of 469 is 7 x 67

Prime Factorization of 109 is 109

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(636, 469) = 298284

GCD(636, 469) = ( 636 x 469 ) / 298284

GCD(636, 469) = 298284 / 298284

GCD(636, 469) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 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 636, 469, 109, 872 is 1

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1. What is the GCD of 636, 469, 109, 872?

GCD of 636, 469, 109, 872 is 1

2. Where do I get the detailed procedure to find GCD of 636, 469, 109, 872?

You can find a detailed procedure to find GCD of 636, 469, 109, 872 on our page.

3. How to find GCD of 636, 469, 109, 872 on a calculator?

You can find the GCD of 636, 469, 109, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.