GCD of 333, 506, 864, 899 Calculator

Given Input numbers are 333, 506, 864, 899

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

Divisors of 333

List of positive integer divisors of 333 that divides 333 without a remainder.

1, 3, 9, 37, 111, 333

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

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

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Greatest Common Divisior

We found the divisors of 333, 506, 864, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 333, 506, 864, 899 is 1.

Therefore, GCD of numbers 333, 506, 864, 899 is 1

Given Input Data is 333, 506, 864, 899

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

Prime Factorization of 333 is 3 x 3 x 37

Prime Factorization of 506 is 2 x 11 x 23

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

Prime Factorization of 899 is 29 x 31

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(333, 506) = 168498

GCD(333, 506) = ( 333 x 506 ) / 168498

GCD(333, 506) = 168498 / 168498

GCD(333, 506) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 899

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

LCM(1, 899) = 899

GCD(1, 899) = ( 1 x 899 ) / 899

GCD(1, 899) = 899 / 899

GCD(1, 899) = 1

GCD of 333, 506, 864, 899 is 1

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1. What is the GCD of 333, 506, 864, 899?

GCD of 333, 506, 864, 899 is 1

2. Where do I get the detailed procedure to find GCD of 333, 506, 864, 899?

You can find a detailed procedure to find GCD of 333, 506, 864, 899 on our page.

3. How to find GCD of 333, 506, 864, 899 on a calculator?

You can find the GCD of 333, 506, 864, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.