GCD of 866, 289, 38, 330 Calculator

Given Input numbers are 866, 289, 38, 330

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

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

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

Greatest Common Divisior

We found the divisors of 866, 289, 38, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 866, 289, 38, 330 is 1.

Therefore, GCD of numbers 866, 289, 38, 330 is 1

Given Input Data is 866, 289, 38, 330

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

Prime Factorization of 866 is 2 x 433

Prime Factorization of 289 is 17 x 17

Prime Factorization of 38 is 2 x 19

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

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(866, 289) = 250274

GCD(866, 289) = ( 866 x 289 ) / 250274

GCD(866, 289) = 250274 / 250274

GCD(866, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 330

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

LCM(1, 330) = 330

GCD(1, 330) = ( 1 x 330 ) / 330

GCD(1, 330) = 330 / 330

GCD(1, 330) = 1

GCD of 866, 289, 38, 330 is 1

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1. What is the GCD of 866, 289, 38, 330?

GCD of 866, 289, 38, 330 is 1

2. Where do I get the detailed procedure to find GCD of 866, 289, 38, 330?

You can find a detailed procedure to find GCD of 866, 289, 38, 330 on our page.

3. How to find GCD of 866, 289, 38, 330 on a calculator?

You can find the GCD of 866, 289, 38, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.