GCD of 312, 438, 56, 508 Calculator

Given Input numbers are 312, 438, 56, 508

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

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 312, 438, 56, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 438, 56, 508 is 2.

Therefore, GCD of numbers 312, 438, 56, 508 is 2

Given Input Data is 312, 438, 56, 508

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 56 is 2 x 2 x 2 x 7

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(312, 438) = 22776

GCD(312, 438) = ( 312 x 438 ) / 22776

GCD(312, 438) = 136656 / 22776

GCD(312, 438) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 56

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

LCM(6, 56) = 168

GCD(6, 56) = ( 6 x 56 ) / 168

GCD(6, 56) = 336 / 168

GCD(6, 56) = 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 312, 438, 56, 508 is 2

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1. What is the GCD of 312, 438, 56, 508?

GCD of 312, 438, 56, 508 is 2

2. Where do I get the detailed procedure to find GCD of 312, 438, 56, 508?

You can find a detailed procedure to find GCD of 312, 438, 56, 508 on our page.

3. How to find GCD of 312, 438, 56, 508 on a calculator?

You can find the GCD of 312, 438, 56, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.