GCD of 516, 884, 555, 791 Calculator

Given Input numbers are 516, 884, 555, 791

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

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 555

List of positive integer divisors of 555 that divides 555 without a remainder.

1, 3, 5, 15, 37, 111, 185, 555

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Greatest Common Divisior

We found the divisors of 516, 884, 555, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 884, 555, 791 is 1.

Therefore, GCD of numbers 516, 884, 555, 791 is 1

Given Input Data is 516, 884, 555, 791

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

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 555 is 3 x 5 x 37

Prime Factorization of 791 is 7 x 113

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(516, 884) = 114036

GCD(516, 884) = ( 516 x 884 ) / 114036

GCD(516, 884) = 456144 / 114036

GCD(516, 884) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 555

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

LCM(4, 555) = 2220

GCD(4, 555) = ( 4 x 555 ) / 2220

GCD(4, 555) = 2220 / 2220

GCD(4, 555) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 791

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

LCM(1, 791) = 791

GCD(1, 791) = ( 1 x 791 ) / 791

GCD(1, 791) = 791 / 791

GCD(1, 791) = 1

GCD of 516, 884, 555, 791 is 1

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1. What is the GCD of 516, 884, 555, 791?

GCD of 516, 884, 555, 791 is 1

2. Where do I get the detailed procedure to find GCD of 516, 884, 555, 791?

You can find a detailed procedure to find GCD of 516, 884, 555, 791 on our page.

3. How to find GCD of 516, 884, 555, 791 on a calculator?

You can find the GCD of 516, 884, 555, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.