GCD of 518, 879, 517, 560 Calculator

Given Input numbers are 518, 879, 517, 560

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

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Greatest Common Divisior

We found the divisors of 518, 879, 517, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 879, 517, 560 is 1.

Therefore, GCD of numbers 518, 879, 517, 560 is 1

Given Input Data is 518, 879, 517, 560

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

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 879 is 3 x 293

Prime Factorization of 517 is 11 x 47

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

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(518, 879) = 455322

GCD(518, 879) = ( 518 x 879 ) / 455322

GCD(518, 879) = 455322 / 455322

GCD(518, 879) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 517

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

LCM(1, 517) = 517

GCD(1, 517) = ( 1 x 517 ) / 517

GCD(1, 517) = 517 / 517

GCD(1, 517) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 560

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

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

GCD(1, 560) = 560 / 560

GCD(1, 560) = 1

GCD of 518, 879, 517, 560 is 1

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1. What is the GCD of 518, 879, 517, 560?

GCD of 518, 879, 517, 560 is 1

2. Where do I get the detailed procedure to find GCD of 518, 879, 517, 560?

You can find a detailed procedure to find GCD of 518, 879, 517, 560 on our page.

3. How to find GCD of 518, 879, 517, 560 on a calculator?

You can find the GCD of 518, 879, 517, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.