GCD of 559, 404, 39, 648 Calculator

Given Input numbers are 559, 404, 39, 648

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 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Greatest Common Divisior

We found the divisors of 559, 404, 39, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 559, 404, 39, 648 is 1.

Therefore, GCD of numbers 559, 404, 39, 648 is 1

Given Input Data is 559, 404, 39, 648

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

Prime Factorization of 559 is 13 x 43

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 39 is 3 x 13

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 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(559, 404) = 225836

GCD(559, 404) = ( 559 x 404 ) / 225836

GCD(559, 404) = 225836 / 225836

GCD(559, 404) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

GCD of 559, 404, 39, 648 is 1

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1. What is the GCD of 559, 404, 39, 648?

GCD of 559, 404, 39, 648 is 1

2. Where do I get the detailed procedure to find GCD of 559, 404, 39, 648?

You can find a detailed procedure to find GCD of 559, 404, 39, 648 on our page.

3. How to find GCD of 559, 404, 39, 648 on a calculator?

You can find the GCD of 559, 404, 39, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.