GCD of 313, 580, 297, 768 Calculator

Given Input numbers are 313, 580, 297, 768

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

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Greatest Common Divisior

We found the divisors of 313, 580, 297, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 580, 297, 768 is 1.

Therefore, GCD of numbers 313, 580, 297, 768 is 1

Given Input Data is 313, 580, 297, 768

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

Prime Factorization of 313 is 313

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(313, 580) = 181540

GCD(313, 580) = ( 313 x 580 ) / 181540

GCD(313, 580) = 181540 / 181540

GCD(313, 580) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 297

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

LCM(1, 297) = 297

GCD(1, 297) = ( 1 x 297 ) / 297

GCD(1, 297) = 297 / 297

GCD(1, 297) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 768

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

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

GCD(1, 768) = 768 / 768

GCD(1, 768) = 1

GCD of 313, 580, 297, 768 is 1

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1. What is the GCD of 313, 580, 297, 768?

GCD of 313, 580, 297, 768 is 1

2. Where do I get the detailed procedure to find GCD of 313, 580, 297, 768?

You can find a detailed procedure to find GCD of 313, 580, 297, 768 on our page.

3. How to find GCD of 313, 580, 297, 768 on a calculator?

You can find the GCD of 313, 580, 297, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.