GCD of 729, 219, 541, 324 Calculator

Given Input numbers are 729, 219, 541, 324

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 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Divisors of 541

List of positive integer divisors of 541 that divides 541 without a remainder.

1, 541

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Greatest Common Divisior

We found the divisors of 729, 219, 541, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 219, 541, 324 is 1.

Therefore, GCD of numbers 729, 219, 541, 324 is 1

Given Input Data is 729, 219, 541, 324

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 219 is 3 x 73

Prime Factorization of 541 is 541

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

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, 219) = 53217

GCD(729, 219) = ( 729 x 219 ) / 53217

GCD(729, 219) = 159651 / 53217

GCD(729, 219) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 541

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

LCM(3, 541) = 1623

GCD(3, 541) = ( 3 x 541 ) / 1623

GCD(3, 541) = 1623 / 1623

GCD(3, 541) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 324

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

LCM(1, 324) = 324

GCD(1, 324) = ( 1 x 324 ) / 324

GCD(1, 324) = 324 / 324

GCD(1, 324) = 1

GCD of 729, 219, 541, 324 is 1

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1. What is the GCD of 729, 219, 541, 324?

GCD of 729, 219, 541, 324 is 1

2. Where do I get the detailed procedure to find GCD of 729, 219, 541, 324?

You can find a detailed procedure to find GCD of 729, 219, 541, 324 on our page.

3. How to find GCD of 729, 219, 541, 324 on a calculator?

You can find the GCD of 729, 219, 541, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.