GCD of 432, 508, 72, 130 Calculator

Given Input numbers are 432, 508, 72, 130

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

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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 432, 508, 72, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 508, 72, 130 is 2.

Therefore, GCD of numbers 432, 508, 72, 130 is 2

Given Input Data is 432, 508, 72, 130

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

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

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(432, 508) = 54864

GCD(432, 508) = ( 432 x 508 ) / 54864

GCD(432, 508) = 219456 / 54864

GCD(432, 508) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 72

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

LCM(4, 72) = 72

GCD(4, 72) = ( 4 x 72 ) / 72

GCD(4, 72) = 288 / 72

GCD(4, 72) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 130

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

LCM(4, 130) = 260

GCD(4, 130) = ( 4 x 130 ) / 260

GCD(4, 130) = 520 / 260

GCD(4, 130) = 2

GCD of 432, 508, 72, 130 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 127, 918, 75, 617
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• GCD of 463, 224, 39, 366

1. What is the GCD of 432, 508, 72, 130?

GCD of 432, 508, 72, 130 is 2

2. Where do I get the detailed procedure to find GCD of 432, 508, 72, 130?

You can find a detailed procedure to find GCD of 432, 508, 72, 130 on our page.

3. How to find GCD of 432, 508, 72, 130 on a calculator?

You can find the GCD of 432, 508, 72, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.