GCD of 330, 403, 41, 288 Calculator

Given Input numbers are 330, 403, 41, 288

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 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Greatest Common Divisior

We found the divisors of 330, 403, 41, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 403, 41, 288 is 1.

Therefore, GCD of numbers 330, 403, 41, 288 is 1

Given Input Data is 330, 403, 41, 288

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 403 is 13 x 31

Prime Factorization of 41 is 41

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 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, 403) = 132990

GCD(330, 403) = ( 330 x 403 ) / 132990

GCD(330, 403) = 132990 / 132990

GCD(330, 403) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 288

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

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

GCD(1, 288) = 288 / 288

GCD(1, 288) = 1

GCD of 330, 403, 41, 288 is 1

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1. What is the GCD of 330, 403, 41, 288?

GCD of 330, 403, 41, 288 is 1

2. Where do I get the detailed procedure to find GCD of 330, 403, 41, 288?

You can find a detailed procedure to find GCD of 330, 403, 41, 288 on our page.

3. How to find GCD of 330, 403, 41, 288 on a calculator?

You can find the GCD of 330, 403, 41, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.