GCD of 288, 864, 486, 279 Calculator

Given Input numbers are 288, 864, 486, 279

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 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279

GCD of numbers is the greatest common divisor

So, the GCD (288, 864, 486, 279) = 9.

Given numbers are 288, 864, 486, 279

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 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 279 are 3 x 3 x 31

The highest common occurrence is 3²

Therefore, GCD of 288, 864, 486, 279 is 9.

Given numbers are 288, 864, 486, 279

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

Apply this formula for all numbers.

Step1:

LCM(288, 864) = 864

GCD(288, 864) = ( 288 x 864 ) / 864

= 288 / 864

= 288

Step2:

LCM(288, 486) = 7776

GCD(288, 486) = ( 288 x 486 ) / 7776

= 288 / 486

= 288

Step3:

LCM(18, 279) = 558

GCD(18, 279) = ( 18 x 279 ) / 558

= 18 / 279

= 18

So, Greatest Common Divisor of 288, 864, 486, 279 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 723, 299, 469, 309
• GCD of 725, 200, 383, 633
• GCD of 164, 425, 509, 782
• GCD of 512, 268, 492, 864
• GCD of 529, 910, 236, 379

Given numbers are 288, 864, 486, 279
The greatest common divisor of numbers 288, 864, 486, 279 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 864, 486, 279 is 9.

1. What is the GCD of 288, 864, 486, 279?

GCD of given numbers 288, 864, 486, 279 is 9

2. How to calculate the greatest common divisor of 288, 864, 486, 279?

We can find the highest common divisor of 288, 864, 486, 279 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, 864, 486, 279 i.e 9.

3. How can I use the GCD of 288, 864, 486, 279Calculator?

Out the numbers 288, 864, 486, 279 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.