GCD of 744, 729, 459 Calculator

Given Input numbers are 744, 729, 459

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

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

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

GCD of numbers is the greatest common divisor

So, the GCD (744, 729, 459) = 3.

Given numbers are 744, 729, 459

The list of prime factors of all numbers are

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

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

The highest common occurrence is 3¹

Therefore, GCD of 744, 729, 459 is 3.

Given numbers are 744, 729, 459

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

Apply this formula for all numbers.

Step1:

LCM(744, 729) = 180792

GCD(744, 729) = ( 744 x 729 ) / 180792

= 744 / 729

= 744

Step2:

LCM(3, 459) = 459

GCD(3, 459) = ( 3 x 459 ) / 459

= 3 / 459

= 3

So, Greatest Common Divisor of 744, 729, 459 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 255, 359, 564
• GCD of 961, 242, 843
• GCD of 612, 276, 727
• GCD of 252, 392, 666
• GCD of 309, 178, 430

Given numbers are 744, 729, 459
The greatest common divisor of numbers 744, 729, 459 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 729, 459 is 3.

1. What is the GCD of 744, 729, 459?

GCD of given numbers 744, 729, 459 is 3

2. How to calculate the greatest common divisor of 744, 729, 459?

We can find the highest common divisor of 744, 729, 459 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 744, 729, 459 i.e 3.

3. How can I use the GCD of 744, 729, 459Calculator?

Out the numbers 744, 729, 459 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.