GCD of 559, 828, 11, 744 Calculator

Given Input numbers are 559, 828, 11, 744

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

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

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 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Greatest Common Divisior

We found the divisors of 559, 828, 11, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 559, 828, 11, 744 is 1.

Therefore, GCD of numbers 559, 828, 11, 744 is 1

Given Input Data is 559, 828, 11, 744

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

Prime Factorization of 559 is 13 x 43

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

Prime Factorization of 11 is 11

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

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(559, 828) = 462852

GCD(559, 828) = ( 559 x 828 ) / 462852

GCD(559, 828) = 462852 / 462852

GCD(559, 828) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 11

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

LCM(1, 11) = 11

GCD(1, 11) = ( 1 x 11 ) / 11

GCD(1, 11) = 11 / 11

GCD(1, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 744

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

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

GCD(1, 744) = 744 / 744

GCD(1, 744) = 1

GCD of 559, 828, 11, 744 is 1

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1. What is the GCD of 559, 828, 11, 744?

GCD of 559, 828, 11, 744 is 1

2. Where do I get the detailed procedure to find GCD of 559, 828, 11, 744?

You can find a detailed procedure to find GCD of 559, 828, 11, 744 on our page.

3. How to find GCD of 559, 828, 11, 744 on a calculator?

You can find the GCD of 559, 828, 11, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.