GCD of 518, 852, 260, 478 Calculator

Given Input numbers are 518, 852, 260, 478

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 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Greatest Common Divisior

We found the divisors of 518, 852, 260, 478 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 852, 260, 478 is 2.

Therefore, GCD of numbers 518, 852, 260, 478 is 2

Given Input Data is 518, 852, 260, 478

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 852 is 2 x 2 x 3 x 71

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 478 is 2 x 239

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 852) = 220668

GCD(518, 852) = ( 518 x 852 ) / 220668

GCD(518, 852) = 441336 / 220668

GCD(518, 852) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 260

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

LCM(2, 260) = 260

GCD(2, 260) = ( 2 x 260 ) / 260

GCD(2, 260) = 520 / 260

GCD(2, 260) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 478

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

LCM(2, 478) = 478

GCD(2, 478) = ( 2 x 478 ) / 478

GCD(2, 478) = 956 / 478

GCD(2, 478) = 2

GCD of 518, 852, 260, 478 is 2

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1. What is the GCD of 518, 852, 260, 478?

GCD of 518, 852, 260, 478 is 2

2. Where do I get the detailed procedure to find GCD of 518, 852, 260, 478?

You can find a detailed procedure to find GCD of 518, 852, 260, 478 on our page.

3. How to find GCD of 518, 852, 260, 478 on a calculator?

You can find the GCD of 518, 852, 260, 478 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.