GCD of 803, 330, 180, 924 Calculator

Given Input numbers are 803, 330, 180, 924

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

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

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 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Greatest Common Divisior

We found the divisors of 803, 330, 180, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 803, 330, 180, 924 is 1.

Therefore, GCD of numbers 803, 330, 180, 924 is 1

Given Input Data is 803, 330, 180, 924

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

Prime Factorization of 803 is 11 x 73

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 924 is 2 x 2 x 3 x 7 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(803, 330) = 24090

GCD(803, 330) = ( 803 x 330 ) / 24090

GCD(803, 330) = 264990 / 24090

GCD(803, 330) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 180

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

LCM(11, 180) = 1980

GCD(11, 180) = ( 11 x 180 ) / 1980

GCD(11, 180) = 1980 / 1980

GCD(11, 180) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 924

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

LCM(1, 924) = 924

GCD(1, 924) = ( 1 x 924 ) / 924

GCD(1, 924) = 924 / 924

GCD(1, 924) = 1

GCD of 803, 330, 180, 924 is 1

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1. What is the GCD of 803, 330, 180, 924?

GCD of 803, 330, 180, 924 is 1

2. Where do I get the detailed procedure to find GCD of 803, 330, 180, 924?

You can find a detailed procedure to find GCD of 803, 330, 180, 924 on our page.

3. How to find GCD of 803, 330, 180, 924 on a calculator?

You can find the GCD of 803, 330, 180, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.