GCD of 438, 384, 341, 824 Calculator

Given Input numbers are 438, 384, 341, 824

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 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 438, 384, 341, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 384, 341, 824 is 1.

Therefore, GCD of numbers 438, 384, 341, 824 is 1

Given Input Data is 438, 384, 341, 824

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 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 341 is 11 x 31

Prime Factorization of 824 is 2 x 2 x 2 x 103

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, 384) = 28032

GCD(438, 384) = ( 438 x 384 ) / 28032

GCD(438, 384) = 168192 / 28032

GCD(438, 384) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 341

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

LCM(6, 341) = 2046

GCD(6, 341) = ( 6 x 341 ) / 2046

GCD(6, 341) = 2046 / 2046

GCD(6, 341) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

GCD of 438, 384, 341, 824 is 1

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1. What is the GCD of 438, 384, 341, 824?

GCD of 438, 384, 341, 824 is 1

2. Where do I get the detailed procedure to find GCD of 438, 384, 341, 824?

You can find a detailed procedure to find GCD of 438, 384, 341, 824 on our page.

3. How to find GCD of 438, 384, 341, 824 on a calculator?

You can find the GCD of 438, 384, 341, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.