GCD of 729, 522, 360, 321 Calculator

Given Input numbers are 729, 522, 360, 321

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 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

GCD of numbers is the greatest common divisor

So, the GCD (729, 522, 360, 321) = 3.

Given numbers are 729, 522, 360, 321

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 522 are 2 x 3 x 3 x 29

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 321 are 3 x 107

The highest common occurrence is 3¹

Therefore, GCD of 729, 522, 360, 321 is 3.

Given numbers are 729, 522, 360, 321

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

Apply this formula for all numbers.

Step1:

LCM(729, 522) = 42282

GCD(729, 522) = ( 729 x 522 ) / 42282

= 729 / 522

= 729

Step2:

LCM(9, 360) = 360

GCD(9, 360) = ( 9 x 360 ) / 360

= 9 / 360

= 9

Step3:

LCM(9, 321) = 963

GCD(9, 321) = ( 9 x 321 ) / 963

= 9 / 321

= 9

So, Greatest Common Divisor of 729, 522, 360, 321 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 336, 453, 358, 996
• GCD of 366, 661, 388, 319
• GCD of 454, 896, 445, 654
• GCD of 686, 626, 609, 991
• GCD of 388, 282, 219, 963

Given numbers are 729, 522, 360, 321
The greatest common divisor of numbers 729, 522, 360, 321 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 522, 360, 321 is 3.

1. What is the GCD of 729, 522, 360, 321?

GCD of given numbers 729, 522, 360, 321 is 3

2. How to calculate the greatest common divisor of 729, 522, 360, 321?

We can find the highest common divisor of 729, 522, 360, 321 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, 522, 360, 321 i.e 3.

3. How can I use the GCD of 729, 522, 360, 321Calculator?

Out the numbers 729, 522, 360, 321 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.