GCD of 576, 990, 612, 864 Calculator

Given Input numbers are 576, 990, 612, 864

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

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

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

GCD of numbers is the greatest common divisor

So, the GCD (576, 990, 612, 864) = 18.

Given numbers are 576, 990, 612, 864

The list of prime factors of all numbers are

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹ x 3²

Therefore, GCD of 576, 990, 612, 864 is 18.

Given numbers are 576, 990, 612, 864

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

Apply this formula for all numbers.

Step1:

LCM(576, 990) = 31680

GCD(576, 990) = ( 576 x 990 ) / 31680

= 576 / 990

= 576

Step2:

LCM(18, 612) = 612

GCD(18, 612) = ( 18 x 612 ) / 612

= 18 / 612

= 18

Step3:

LCM(18, 864) = 864

GCD(18, 864) = ( 18 x 864 ) / 864

= 18 / 864

= 18

So, Greatest Common Divisor of 576, 990, 612, 864 is 18

Here are some samples of GCD of Numbers calculations.

• GCD of 332, 566, 605, 945
• GCD of 177, 359, 618, 139
• GCD of 457, 540, 985, 817
• GCD of 491, 435, 196, 360
• GCD of 847, 328, 566, 275

Given numbers are 576, 990, 612, 864
The greatest common divisor of numbers 576, 990, 612, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 990, 612, 864 is 18.

1. What is the GCD of 576, 990, 612, 864?

GCD of given numbers 576, 990, 612, 864 is 18

2. How to calculate the greatest common divisor of 576, 990, 612, 864?

We can find the highest common divisor of 576, 990, 612, 864 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 576, 990, 612, 864 i.e 18.

3. How can I use the GCD of 576, 990, 612, 864Calculator?

Out the numbers 576, 990, 612, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.