GCD of 516, 423, 111, 874 Calculator

Given Input numbers are 516, 423, 111, 874

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 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Greatest Common Divisior

We found the divisors of 516, 423, 111, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 423, 111, 874 is 1.

Therefore, GCD of numbers 516, 423, 111, 874 is 1

Given Input Data is 516, 423, 111, 874

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 423 is 3 x 3 x 47

Prime Factorization of 111 is 3 x 37

Prime Factorization of 874 is 2 x 19 x 23

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, 423) = 72756

GCD(516, 423) = ( 516 x 423 ) / 72756

GCD(516, 423) = 218268 / 72756

GCD(516, 423) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 111

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

LCM(3, 111) = 111

GCD(3, 111) = ( 3 x 111 ) / 111

GCD(3, 111) = 333 / 111

GCD(3, 111) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 874

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

LCM(3, 874) = 2622

GCD(3, 874) = ( 3 x 874 ) / 2622

GCD(3, 874) = 2622 / 2622

GCD(3, 874) = 1

GCD of 516, 423, 111, 874 is 1

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1. What is the GCD of 516, 423, 111, 874?

GCD of 516, 423, 111, 874 is 1

2. Where do I get the detailed procedure to find GCD of 516, 423, 111, 874?

You can find a detailed procedure to find GCD of 516, 423, 111, 874 on our page.

3. How to find GCD of 516, 423, 111, 874 on a calculator?

You can find the GCD of 516, 423, 111, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.