GCD of 345, 327, 729, 833 Calculator

Given Input numbers are 345, 327, 729, 833

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 833

List of positive integer divisors of 833 that divides 833 without a remainder.

1, 7, 17, 49, 119, 833

Greatest Common Divisior

We found the divisors of 345, 327, 729, 833 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 327, 729, 833 is 1.

Therefore, GCD of numbers 345, 327, 729, 833 is 1

Given Input Data is 345, 327, 729, 833

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 327 is 3 x 109

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 833 is 7 x 7 x 17

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(345, 327) = 37605

GCD(345, 327) = ( 345 x 327 ) / 37605

GCD(345, 327) = 112815 / 37605

GCD(345, 327) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 729

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

LCM(3, 729) = 729

GCD(3, 729) = ( 3 x 729 ) / 729

GCD(3, 729) = 2187 / 729

GCD(3, 729) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 833

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

LCM(3, 833) = 2499

GCD(3, 833) = ( 3 x 833 ) / 2499

GCD(3, 833) = 2499 / 2499

GCD(3, 833) = 1

GCD of 345, 327, 729, 833 is 1

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1. What is the GCD of 345, 327, 729, 833?

GCD of 345, 327, 729, 833 is 1

2. Where do I get the detailed procedure to find GCD of 345, 327, 729, 833?

You can find a detailed procedure to find GCD of 345, 327, 729, 833 on our page.

3. How to find GCD of 345, 327, 729, 833 on a calculator?

You can find the GCD of 345, 327, 729, 833 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.