GCD of 438, 330, 50, 508 Calculator

Given Input numbers are 438, 330, 50, 508

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

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 508

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

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 438, 330, 50, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 330, 50, 508 is 2.

Therefore, GCD of numbers 438, 330, 50, 508 is 2

Given Input Data is 438, 330, 50, 508

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

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 508 is 2 x 2 x 127

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(438, 330) = 24090

GCD(438, 330) = ( 438 x 330 ) / 24090

GCD(438, 330) = 144540 / 24090

GCD(438, 330) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 50

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

LCM(6, 50) = 150

GCD(6, 50) = ( 6 x 50 ) / 150

GCD(6, 50) = 300 / 150

GCD(6, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 508

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

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

GCD(2, 508) = 1016 / 508

GCD(2, 508) = 2

GCD of 438, 330, 50, 508 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 458, 437, 68, 523
• GCD of 691, 275, 71, 597
• GCD of 961, 593, 17, 529
• GCD of 109, 382, 38, 881
• GCD of 309, 913, 78, 607

1. What is the GCD of 438, 330, 50, 508?

GCD of 438, 330, 50, 508 is 2

2. Where do I get the detailed procedure to find GCD of 438, 330, 50, 508?

You can find a detailed procedure to find GCD of 438, 330, 50, 508 on our page.

3. How to find GCD of 438, 330, 50, 508 on a calculator?

You can find the GCD of 438, 330, 50, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.