GCD of 351, 864, 729, 349 Calculator

Given Input numbers are 351, 864, 729, 349

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

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

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 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Greatest Common Divisior

We found the divisors of 351, 864, 729, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 351, 864, 729, 349 is 1.

Therefore, GCD of numbers 351, 864, 729, 349 is 1

Given Input Data is 351, 864, 729, 349

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

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Prime Factorization of 349 is 349

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(351, 864) = 11232

GCD(351, 864) = ( 351 x 864 ) / 11232

GCD(351, 864) = 303264 / 11232

GCD(351, 864) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 729

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

LCM(27, 729) = 729

GCD(27, 729) = ( 27 x 729 ) / 729

GCD(27, 729) = 19683 / 729

GCD(27, 729) = 27

Step3:

Here we consider the GCD from the above i.e. 27 as first number and the next as 349

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

LCM(27, 349) = 9423

GCD(27, 349) = ( 27 x 349 ) / 9423

GCD(27, 349) = 9423 / 9423

GCD(27, 349) = 1

GCD of 351, 864, 729, 349 is 1

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1. What is the GCD of 351, 864, 729, 349?

GCD of 351, 864, 729, 349 is 1

2. Where do I get the detailed procedure to find GCD of 351, 864, 729, 349?

You can find a detailed procedure to find GCD of 351, 864, 729, 349 on our page.

3. How to find GCD of 351, 864, 729, 349 on a calculator?

You can find the GCD of 351, 864, 729, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.