GCD of 596, 874, 518, 338 Calculator

Given Input numbers are 596, 874, 518, 338

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

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 874

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

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

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 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 596, 874, 518, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 596, 874, 518, 338 is 2.

Therefore, GCD of numbers 596, 874, 518, 338 is 2

Given Input Data is 596, 874, 518, 338

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

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 338 is 2 x 13 x 13

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(596, 874) = 260452

GCD(596, 874) = ( 596 x 874 ) / 260452

GCD(596, 874) = 520904 / 260452

GCD(596, 874) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 518

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

LCM(2, 518) = 518

GCD(2, 518) = ( 2 x 518 ) / 518

GCD(2, 518) = 1036 / 518

GCD(2, 518) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 338

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

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

GCD(2, 338) = 676 / 338

GCD(2, 338) = 2

GCD of 596, 874, 518, 338 is 2

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1. What is the GCD of 596, 874, 518, 338?

GCD of 596, 874, 518, 338 is 2

2. Where do I get the detailed procedure to find GCD of 596, 874, 518, 338?

You can find a detailed procedure to find GCD of 596, 874, 518, 338 on our page.

3. How to find GCD of 596, 874, 518, 338 on a calculator?

You can find the GCD of 596, 874, 518, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.