GCD of 330, 676, 873, 864 Calculator

Given Input numbers are 330, 676, 873, 864

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

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Greatest Common Divisior

We found the divisors of 330, 676, 873, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 676, 873, 864 is 1.

Therefore, GCD of numbers 330, 676, 873, 864 is 1

Given Input Data is 330, 676, 873, 864

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

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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(330, 676) = 111540

GCD(330, 676) = ( 330 x 676 ) / 111540

GCD(330, 676) = 223080 / 111540

GCD(330, 676) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 873

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

LCM(2, 873) = 1746

GCD(2, 873) = ( 2 x 873 ) / 1746

GCD(2, 873) = 1746 / 1746

GCD(2, 873) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 864

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

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

GCD(1, 864) = 864 / 864

GCD(1, 864) = 1

GCD of 330, 676, 873, 864 is 1

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1. What is the GCD of 330, 676, 873, 864?

GCD of 330, 676, 873, 864 is 1

2. Where do I get the detailed procedure to find GCD of 330, 676, 873, 864?

You can find a detailed procedure to find GCD of 330, 676, 873, 864 on our page.

3. How to find GCD of 330, 676, 873, 864 on a calculator?

You can find the GCD of 330, 676, 873, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.