GCD of 438, 318, 68, 381 Calculator

Given Input numbers are 438, 318, 68, 381

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 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 438, 318, 68, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 318, 68, 381 is 1.

Therefore, GCD of numbers 438, 318, 68, 381 is 1

Given Input Data is 438, 318, 68, 381

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 318 is 2 x 3 x 53

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 381 is 3 x 127

The above numbers do not have any common prime factor. So GCD is 1

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, 318) = 23214

GCD(438, 318) = ( 438 x 318 ) / 23214

GCD(438, 318) = 139284 / 23214

GCD(438, 318) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 68

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

LCM(6, 68) = 204

GCD(6, 68) = ( 6 x 68 ) / 204

GCD(6, 68) = 408 / 204

GCD(6, 68) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 381

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

LCM(2, 381) = 762

GCD(2, 381) = ( 2 x 381 ) / 762

GCD(2, 381) = 762 / 762

GCD(2, 381) = 1

GCD of 438, 318, 68, 381 is 1

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• GCD of 531, 315, 50, 523
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• GCD of 501, 135, 46, 599

1. What is the GCD of 438, 318, 68, 381?

GCD of 438, 318, 68, 381 is 1

2. Where do I get the detailed procedure to find GCD of 438, 318, 68, 381?

You can find a detailed procedure to find GCD of 438, 318, 68, 381 on our page.

3. How to find GCD of 438, 318, 68, 381 on a calculator?

You can find the GCD of 438, 318, 68, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.