GCD of 864, 530, 900, 309 Calculator

Given Input numbers are 864, 530, 900, 309

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

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 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

GCD of numbers is the greatest common divisor

So, the GCD (864, 530, 900, 309) = 1.

Given numbers are 864, 530, 900, 309

The list of prime factors of all numbers are

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

Prime factors of 530 are 2 x 5 x 53

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 309 are 3 x 103

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 864, 530, 900, 309

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

Apply this formula for all numbers.

Step1:

LCM(864, 530) = 228960

GCD(864, 530) = ( 864 x 530 ) / 228960

= 864 / 530

= 864

Step2:

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

= 2 / 900

= 2

Step3:

LCM(2, 309) = 618

GCD(2, 309) = ( 2 x 309 ) / 618

= 2 / 309

= 2

So, Greatest Common Divisor of 864, 530, 900, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 789, 842, 820, 446
• GCD of 178, 664, 706, 916
• GCD of 149, 513, 745, 394
• GCD of 732, 144, 955, 369
• GCD of 868, 333, 667, 782

Given numbers are 864, 530, 900, 309
The greatest common divisor of numbers 864, 530, 900, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 530, 900, 309 is 1.

1. What is the GCD of 864, 530, 900, 309?

GCD of given numbers 864, 530, 900, 309 is 1

2. How to calculate the greatest common divisor of 864, 530, 900, 309?

We can find the highest common divisor of 864, 530, 900, 309 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 864, 530, 900, 309 i.e 1.

3. How can I use the GCD of 864, 530, 900, 309Calculator?

Out the numbers 864, 530, 900, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.