GCD of 516, 192, 524, 609 Calculator

Given Input numbers are 516, 192, 524, 609

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 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Greatest Common Divisior

We found the divisors of 516, 192, 524, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 192, 524, 609 is 1.

Therefore, GCD of numbers 516, 192, 524, 609 is 1

Given Input Data is 516, 192, 524, 609

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 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 609 is 3 x 7 x 29

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, 192) = 8256

GCD(516, 192) = ( 516 x 192 ) / 8256

GCD(516, 192) = 99072 / 8256

GCD(516, 192) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 524

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

LCM(12, 524) = 1572

GCD(12, 524) = ( 12 x 524 ) / 1572

GCD(12, 524) = 6288 / 1572

GCD(12, 524) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 609

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

LCM(4, 609) = 2436

GCD(4, 609) = ( 4 x 609 ) / 2436

GCD(4, 609) = 2436 / 2436

GCD(4, 609) = 1

GCD of 516, 192, 524, 609 is 1

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1. What is the GCD of 516, 192, 524, 609?

GCD of 516, 192, 524, 609 is 1

2. Where do I get the detailed procedure to find GCD of 516, 192, 524, 609?

You can find a detailed procedure to find GCD of 516, 192, 524, 609 on our page.

3. How to find GCD of 516, 192, 524, 609 on a calculator?

You can find the GCD of 516, 192, 524, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.