GCD of 288, 297, 285, 729 Calculator

Given Input numbers are 288, 297, 285, 729

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

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 285 :

The positive integer divisors of 285 that completely divides 285 are.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 729 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (288, 297, 285, 729) = 3.

Given numbers are 288, 297, 285, 729

The list of prime factors of all numbers are

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 297 are 3 x 3 x 3 x 11

Prime factors of 285 are 3 x 5 x 19

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

The highest common occurrence is 3¹

Therefore, GCD of 288, 297, 285, 729 is 3.

Given numbers are 288, 297, 285, 729

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

Apply this formula for all numbers.

Step1:

LCM(288, 297) = 9504

GCD(288, 297) = ( 288 x 297 ) / 9504

= 288 / 297

= 288

Step2:

LCM(9, 285) = 855

GCD(9, 285) = ( 9 x 285 ) / 855

= 9 / 285

= 9

Step3:

LCM(3, 729) = 729

GCD(3, 729) = ( 3 x 729 ) / 729

= 3 / 729

= 3

So, Greatest Common Divisor of 288, 297, 285, 729 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 771, 734, 218, 497
• GCD of 898, 820, 169, 642
• GCD of 688, 674, 956, 618
• GCD of 774, 113, 176, 667
• GCD of 234, 642, 480, 417

Given numbers are 288, 297, 285, 729
The greatest common divisor of numbers 288, 297, 285, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 297, 285, 729 is 3.

1. What is the GCD of 288, 297, 285, 729?

GCD of given numbers 288, 297, 285, 729 is 3

2. How to calculate the greatest common divisor of 288, 297, 285, 729?

We can find the highest common divisor of 288, 297, 285, 729 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 288, 297, 285, 729 i.e 3.

3. How can I use the GCD of 288, 297, 285, 729Calculator?

Out the numbers 288, 297, 285, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.