GCD of 828, 438, 323, 347 Calculator

Given Input numbers are 828, 438, 323, 347

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

Greatest Common Divisior

We found the divisors of 828, 438, 323, 347 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 438, 323, 347 is 1.

Therefore, GCD of numbers 828, 438, 323, 347 is 1

Given Input Data is 828, 438, 323, 347

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 323 is 17 x 19

Prime Factorization of 347 is 347

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(828, 438) = 60444

GCD(828, 438) = ( 828 x 438 ) / 60444

GCD(828, 438) = 362664 / 60444

GCD(828, 438) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 323

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

LCM(6, 323) = 1938

GCD(6, 323) = ( 6 x 323 ) / 1938

GCD(6, 323) = 1938 / 1938

GCD(6, 323) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 347

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

LCM(1, 347) = 347

GCD(1, 347) = ( 1 x 347 ) / 347

GCD(1, 347) = 347 / 347

GCD(1, 347) = 1

GCD of 828, 438, 323, 347 is 1

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1. What is the GCD of 828, 438, 323, 347?

GCD of 828, 438, 323, 347 is 1

2. Where do I get the detailed procedure to find GCD of 828, 438, 323, 347?

You can find a detailed procedure to find GCD of 828, 438, 323, 347 on our page.

3. How to find GCD of 828, 438, 323, 347 on a calculator?

You can find the GCD of 828, 438, 323, 347 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.