GCD of 792, 333, 584, 364 Calculator

Given Input numbers are 792, 333, 584, 364

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

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 333

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

1, 3, 9, 37, 111, 333

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 792, 333, 584, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 333, 584, 364 is 1.

Therefore, GCD of numbers 792, 333, 584, 364 is 1

Given Input Data is 792, 333, 584, 364

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

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 333 is 3 x 3 x 37

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(792, 333) = 29304

GCD(792, 333) = ( 792 x 333 ) / 29304

GCD(792, 333) = 263736 / 29304

GCD(792, 333) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 584

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

LCM(9, 584) = 5256

GCD(9, 584) = ( 9 x 584 ) / 5256

GCD(9, 584) = 5256 / 5256

GCD(9, 584) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 792, 333, 584, 364 is 1

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1. What is the GCD of 792, 333, 584, 364?

GCD of 792, 333, 584, 364 is 1

2. Where do I get the detailed procedure to find GCD of 792, 333, 584, 364?

You can find a detailed procedure to find GCD of 792, 333, 584, 364 on our page.

3. How to find GCD of 792, 333, 584, 364 on a calculator?

You can find the GCD of 792, 333, 584, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.