GCD of 13, 351, 583, 768 Calculator

Given Input numbers are 13, 351, 583, 768

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

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 583

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

1, 11, 53, 583

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 13, 351, 583, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 351, 583, 768 is 1.

Therefore, GCD of numbers 13, 351, 583, 768 is 1

Given Input Data is 13, 351, 583, 768

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

Prime Factorization of 13 is 13

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 583 is 11 x 53

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(13, 351) = 351

GCD(13, 351) = ( 13 x 351 ) / 351

GCD(13, 351) = 4563 / 351

GCD(13, 351) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 583

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

LCM(13, 583) = 7579

GCD(13, 583) = ( 13 x 583 ) / 7579

GCD(13, 583) = 7579 / 7579

GCD(13, 583) = 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 13, 351, 583, 768 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 77, 454, 731, 862
• GCD of 74, 526, 287, 849
• GCD of 23, 596, 752, 956
• GCD of 11, 779, 759, 240
• GCD of 46, 417, 522, 389

1. What is the GCD of 13, 351, 583, 768?

GCD of 13, 351, 583, 768 is 1

2. Where do I get the detailed procedure to find GCD of 13, 351, 583, 768?

You can find a detailed procedure to find GCD of 13, 351, 583, 768 on our page.

3. How to find GCD of 13, 351, 583, 768 on a calculator?

You can find the GCD of 13, 351, 583, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.