GCD of 729, 459, 327, 243 Calculator

Given Input numbers are 729, 459, 327, 243

In the factoring method, we have to find the divisors of all numbers

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

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

Divisors of 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 327 :

The positive integer divisors of 327 that completely divides 327 are.

1, 3, 109, 327

Divisors of 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243

GCD of numbers is the greatest common divisor

So, the GCD (729, 459, 327, 243) = 3.

Given numbers are 729, 459, 327, 243

The list of prime factors of all numbers are

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

Prime factors of 459 are 3 x 3 x 3 x 17

Prime factors of 327 are 3 x 109

Prime factors of 243 are 3 x 3 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 729, 459, 327, 243 is 3.

Given numbers are 729, 459, 327, 243

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(729, 459) = 12393

GCD(729, 459) = ( 729 x 459 ) / 12393

= 729 / 459

= 729

Step2:

LCM(27, 327) = 2943

GCD(27, 327) = ( 27 x 327 ) / 2943

= 27 / 327

= 27

Step3:

LCM(3, 243) = 243

GCD(3, 243) = ( 3 x 243 ) / 243

= 3 / 243

= 3

So, Greatest Common Divisor of 729, 459, 327, 243 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 384, 876, 579, 548
• GCD of 885, 168, 447, 992
• GCD of 122, 631, 915, 203
• GCD of 545, 521, 436, 343
• GCD of 403, 558, 373, 317

Given numbers are 729, 459, 327, 243
The greatest common divisor of numbers 729, 459, 327, 243 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 459, 327, 243 is 3.

1. What is the GCD of 729, 459, 327, 243?

GCD of given numbers 729, 459, 327, 243 is 3

2. How to calculate the greatest common divisor of 729, 459, 327, 243?

We can find the highest common divisor of 729, 459, 327, 243 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 729, 459, 327, 243 i.e 3.

3. How can I use the GCD of 729, 459, 327, 243Calculator?

Out the numbers 729, 459, 327, 243 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.