GCD of 336, 192, 330, 583 Calculator

Given Input numbers are 336, 192, 330, 583

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

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

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 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Greatest Common Divisior

We found the divisors of 336, 192, 330, 583 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 192, 330, 583 is 1.

Therefore, GCD of numbers 336, 192, 330, 583 is 1

Given Input Data is 336, 192, 330, 583

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

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Prime Factorization of 583 is 11 x 53

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(336, 192) = 1344

GCD(336, 192) = ( 336 x 192 ) / 1344

GCD(336, 192) = 64512 / 1344

GCD(336, 192) = 48

Step2:

Here we consider the GCD from the above i.e. 48 as first number and the next as 330

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

LCM(48, 330) = 2640

GCD(48, 330) = ( 48 x 330 ) / 2640

GCD(48, 330) = 15840 / 2640

GCD(48, 330) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 583

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

LCM(6, 583) = 3498

GCD(6, 583) = ( 6 x 583 ) / 3498

GCD(6, 583) = 3498 / 3498

GCD(6, 583) = 1

GCD of 336, 192, 330, 583 is 1

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1. What is the GCD of 336, 192, 330, 583?

GCD of 336, 192, 330, 583 is 1

2. Where do I get the detailed procedure to find GCD of 336, 192, 330, 583?

You can find a detailed procedure to find GCD of 336, 192, 330, 583 on our page.

3. How to find GCD of 336, 192, 330, 583 on a calculator?

You can find the GCD of 336, 192, 330, 583 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.