GCD of 502, 422, 130 Calculator

Given Input numbers are 502, 422, 130

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

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 130

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

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

Greatest Common Divisior

We found the divisors of 502, 422, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 502, 422, 130 is 2.

Therefore, GCD of numbers 502, 422, 130 is 2

Given Input Data is 502, 422, 130

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

Prime Factorization of 502 is 2 x 251

Prime Factorization of 422 is 2 x 211

Prime Factorization of 130 is 2 x 5 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(502, 422) = 105922

GCD(502, 422) = ( 502 x 422 ) / 105922

GCD(502, 422) = 211844 / 105922

GCD(502, 422) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 130

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

LCM(2, 130) = 130

GCD(2, 130) = ( 2 x 130 ) / 130

GCD(2, 130) = 260 / 130

GCD(2, 130) = 2

GCD of 502, 422, 130 is 2

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1. What is the GCD of 502, 422, 130?

GCD of 502, 422, 130 is 2

2. Where do I get the detailed procedure to find GCD of 502, 422, 130?

You can find a detailed procedure to find GCD of 502, 422, 130 on our page.

3. How to find GCD of 502, 422, 130 on a calculator?

You can find the GCD of 502, 422, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.