GCD of 16, 559, 940, 556 Calculator

Given Input numbers are 16, 559, 940, 556

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

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 559

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

1, 13, 43, 559

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Greatest Common Divisior

We found the divisors of 16, 559, 940, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 559, 940, 556 is 1.

Therefore, GCD of numbers 16, 559, 940, 556 is 1

Given Input Data is 16, 559, 940, 556

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 559 is 13 x 43

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 556 is 2 x 2 x 139

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(16, 559) = 8944

GCD(16, 559) = ( 16 x 559 ) / 8944

GCD(16, 559) = 8944 / 8944

GCD(16, 559) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 940

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

LCM(1, 940) = 940

GCD(1, 940) = ( 1 x 940 ) / 940

GCD(1, 940) = 940 / 940

GCD(1, 940) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 556

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

LCM(1, 556) = 556

GCD(1, 556) = ( 1 x 556 ) / 556

GCD(1, 556) = 556 / 556

GCD(1, 556) = 1

GCD of 16, 559, 940, 556 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 35, 962, 649, 330
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• GCD of 16, 268, 658, 701
• GCD of 19, 743, 680, 665
• GCD of 71, 726, 854, 438

1. What is the GCD of 16, 559, 940, 556?

GCD of 16, 559, 940, 556 is 1

2. Where do I get the detailed procedure to find GCD of 16, 559, 940, 556?

You can find a detailed procedure to find GCD of 16, 559, 940, 556 on our page.

3. How to find GCD of 16, 559, 940, 556 on a calculator?

You can find the GCD of 16, 559, 940, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.