GCD of 598, 394, 638, 518 Calculator

Given Input numbers are 598, 394, 638, 518

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

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 518

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

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

Greatest Common Divisior

We found the divisors of 598, 394, 638, 518 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 394, 638, 518 is 2.

Therefore, GCD of numbers 598, 394, 638, 518 is 2

Given Input Data is 598, 394, 638, 518

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

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 394 is 2 x 197

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 518 is 2 x 7 x 37

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(598, 394) = 117806

GCD(598, 394) = ( 598 x 394 ) / 117806

GCD(598, 394) = 235612 / 117806

GCD(598, 394) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 638

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

LCM(2, 638) = 638

GCD(2, 638) = ( 2 x 638 ) / 638

GCD(2, 638) = 1276 / 638

GCD(2, 638) = 2

Step3:

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

GCD of 598, 394, 638, 518 is 2

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1. What is the GCD of 598, 394, 638, 518?

GCD of 598, 394, 638, 518 is 2

2. Where do I get the detailed procedure to find GCD of 598, 394, 638, 518?

You can find a detailed procedure to find GCD of 598, 394, 638, 518 on our page.

3. How to find GCD of 598, 394, 638, 518 on a calculator?

You can find the GCD of 598, 394, 638, 518 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.