GCD of 516, 567, 784, 561 Calculator

Given Input numbers are 516, 567, 784, 561

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 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

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 516, 567, 784, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 567, 784, 561 is 1.

Therefore, GCD of numbers 516, 567, 784, 561 is 1

Given Input Data is 516, 567, 784, 561

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 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

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(516, 567) = 97524

GCD(516, 567) = ( 516 x 567 ) / 97524

GCD(516, 567) = 292572 / 97524

GCD(516, 567) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 784

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

LCM(3, 784) = 2352

GCD(3, 784) = ( 3 x 784 ) / 2352

GCD(3, 784) = 2352 / 2352

GCD(3, 784) = 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 516, 567, 784, 561 is 1

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1. What is the GCD of 516, 567, 784, 561?

GCD of 516, 567, 784, 561 is 1

2. Where do I get the detailed procedure to find GCD of 516, 567, 784, 561?

You can find a detailed procedure to find GCD of 516, 567, 784, 561 on our page.

3. How to find GCD of 516, 567, 784, 561 on a calculator?

You can find the GCD of 516, 567, 784, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.