GCD of 130, 604, 338 Calculator

Given Input numbers are 130, 604, 338

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

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

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 130, 604, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 604, 338 is 2.

Therefore, GCD of numbers 130, 604, 338 is 2

Given Input Data is 130, 604, 338

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

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 604 is 2 x 2 x 151

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(130, 604) = 39260

GCD(130, 604) = ( 130 x 604 ) / 39260

GCD(130, 604) = 78520 / 39260

GCD(130, 604) = 2

Step2:

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 130, 604, 338 is 2

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1. What is the GCD of 130, 604, 338?

GCD of 130, 604, 338 is 2

2. Where do I get the detailed procedure to find GCD of 130, 604, 338?

You can find a detailed procedure to find GCD of 130, 604, 338 on our page.

3. How to find GCD of 130, 604, 338 on a calculator?

You can find the GCD of 130, 604, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.