GCD of 729, 432, 699, 480 Calculator

Given Input numbers are 729, 432, 699, 480

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 432 :

The positive integer divisors of 432 that completely divides 432 are.

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

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

GCD of numbers is the greatest common divisor

So, the GCD (729, 432, 699, 480) = 3.

Given numbers are 729, 432, 699, 480

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 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 699 are 3 x 233

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 729, 432, 699, 480 is 3.

Given numbers are 729, 432, 699, 480

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

Apply this formula for all numbers.

Step1:

LCM(729, 432) = 11664

GCD(729, 432) = ( 729 x 432 ) / 11664

= 729 / 432

= 729

Step2:

LCM(27, 699) = 6291

GCD(27, 699) = ( 27 x 699 ) / 6291

= 27 / 699

= 27

Step3:

LCM(3, 480) = 480

GCD(3, 480) = ( 3 x 480 ) / 480

= 3 / 480

= 3

So, Greatest Common Divisor of 729, 432, 699, 480 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 243, 218, 848, 182
• GCD of 854, 392, 258, 296
• GCD of 987, 733, 845, 343
• GCD of 970, 294, 472, 223
• GCD of 360, 701, 545, 311

Given numbers are 729, 432, 699, 480
The greatest common divisor of numbers 729, 432, 699, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 432, 699, 480 is 3.

1. What is the GCD of 729, 432, 699, 480?

GCD of given numbers 729, 432, 699, 480 is 3

2. How to calculate the greatest common divisor of 729, 432, 699, 480?

We can find the highest common divisor of 729, 432, 699, 480 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, 432, 699, 480 i.e 3.

3. How can I use the GCD of 729, 432, 699, 480Calculator?

Out the numbers 729, 432, 699, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.