GCD of 13, 828, 976, 561 Calculator

Given Input numbers are 13, 828, 976, 561

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 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Greatest Common Divisior

We found the divisors of 13, 828, 976, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 828, 976, 561 is 1.

Therefore, GCD of numbers 13, 828, 976, 561 is 1

Given Input Data is 13, 828, 976, 561

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

Prime Factorization of 13 is 13

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 561 is 3 x 11 x 17

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, 828) = 10764

GCD(13, 828) = ( 13 x 828 ) / 10764

GCD(13, 828) = 10764 / 10764

GCD(13, 828) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 976

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

LCM(1, 976) = 976

GCD(1, 976) = ( 1 x 976 ) / 976

GCD(1, 976) = 976 / 976

GCD(1, 976) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 561

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

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

GCD(1, 561) = 561 / 561

GCD(1, 561) = 1

GCD of 13, 828, 976, 561 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 11, 215, 210, 297
• GCD of 99, 105, 619, 711
• GCD of 32, 335, 527, 998
• GCD of 54, 663, 379, 558
• GCD of 74, 431, 909, 701

1. What is the GCD of 13, 828, 976, 561?

GCD of 13, 828, 976, 561 is 1

2. Where do I get the detailed procedure to find GCD of 13, 828, 976, 561?

You can find a detailed procedure to find GCD of 13, 828, 976, 561 on our page.

3. How to find GCD of 13, 828, 976, 561 on a calculator?

You can find the GCD of 13, 828, 976, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.