GCD of 108, 966, 65, 872 Calculator

Given Input numbers are 108, 966, 65, 872

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

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 108, 966, 65, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 966, 65, 872 is 1.

Therefore, GCD of numbers 108, 966, 65, 872 is 1

Given Input Data is 108, 966, 65, 872

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 65 is 5 x 13

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(108, 966) = 17388

GCD(108, 966) = ( 108 x 966 ) / 17388

GCD(108, 966) = 104328 / 17388

GCD(108, 966) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 65

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

LCM(6, 65) = 390

GCD(6, 65) = ( 6 x 65 ) / 390

GCD(6, 65) = 390 / 390

GCD(6, 65) = 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 108, 966, 65, 872 is 1

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1. What is the GCD of 108, 966, 65, 872?

GCD of 108, 966, 65, 872 is 1

2. Where do I get the detailed procedure to find GCD of 108, 966, 65, 872?

You can find a detailed procedure to find GCD of 108, 966, 65, 872 on our page.

3. How to find GCD of 108, 966, 65, 872 on a calculator?

You can find the GCD of 108, 966, 65, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.