GCD of 729, 241, 28, 344 Calculator

Given Input numbers are 729, 241, 28, 344

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

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 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Greatest Common Divisior

We found the divisors of 729, 241, 28, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 241, 28, 344 is 1.

Therefore, GCD of numbers 729, 241, 28, 344 is 1

Given Input Data is 729, 241, 28, 344

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

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

Prime Factorization of 241 is 241

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 344 is 2 x 2 x 2 x 43

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(729, 241) = 175689

GCD(729, 241) = ( 729 x 241 ) / 175689

GCD(729, 241) = 175689 / 175689

GCD(729, 241) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 1

GCD of 729, 241, 28, 344 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 310, 343, 94, 169
• GCD of 661, 988, 47, 512
• GCD of 142, 872, 43, 537
• GCD of 114, 841, 95, 160
• GCD of 693, 645, 24, 886

1. What is the GCD of 729, 241, 28, 344?

GCD of 729, 241, 28, 344 is 1

2. Where do I get the detailed procedure to find GCD of 729, 241, 28, 344?

You can find a detailed procedure to find GCD of 729, 241, 28, 344 on our page.

3. How to find GCD of 729, 241, 28, 344 on a calculator?

You can find the GCD of 729, 241, 28, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.