GCD of 393, 756, 69, 326 Calculator

Given Input numbers are 393, 756, 69, 326

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

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Greatest Common Divisior

We found the divisors of 393, 756, 69, 326 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 393, 756, 69, 326 is 1.

Therefore, GCD of numbers 393, 756, 69, 326 is 1

Given Input Data is 393, 756, 69, 326

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

Prime Factorization of 393 is 3 x 131

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 69 is 3 x 23

Prime Factorization of 326 is 2 x 163

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(393, 756) = 99036

GCD(393, 756) = ( 393 x 756 ) / 99036

GCD(393, 756) = 297108 / 99036

GCD(393, 756) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 69

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

LCM(3, 69) = 69

GCD(3, 69) = ( 3 x 69 ) / 69

GCD(3, 69) = 207 / 69

GCD(3, 69) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 326

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

LCM(3, 326) = 978

GCD(3, 326) = ( 3 x 326 ) / 978

GCD(3, 326) = 978 / 978

GCD(3, 326) = 1

GCD of 393, 756, 69, 326 is 1

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1. What is the GCD of 393, 756, 69, 326?

GCD of 393, 756, 69, 326 is 1

2. Where do I get the detailed procedure to find GCD of 393, 756, 69, 326?

You can find a detailed procedure to find GCD of 393, 756, 69, 326 on our page.

3. How to find GCD of 393, 756, 69, 326 on a calculator?

You can find the GCD of 393, 756, 69, 326 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.