GCD of 489, 687, 923, 864 Calculator

Given Input numbers are 489, 687, 923, 864

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

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 923 :

The positive integer divisors of 923 that completely divides 923 are.

1, 13, 71, 923

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 (489, 687, 923, 864) = 1.

Given numbers are 489, 687, 923, 864

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 687 are 3 x 229

Prime factors of 923 are 13 x 71

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

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

Given numbers are 489, 687, 923, 864

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

Apply this formula for all numbers.

Step1:

LCM(489, 687) = 111981

GCD(489, 687) = ( 489 x 687 ) / 111981

= 489 / 687

= 489

Step2:

LCM(3, 923) = 2769

GCD(3, 923) = ( 3 x 923 ) / 2769

= 3 / 923

= 3

Step3:

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

= 1 / 864

= 1

So, Greatest Common Divisor of 489, 687, 923, 864 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 736, 169, 121, 730
• GCD of 738, 334, 503, 365
• GCD of 926, 605, 256, 426
• GCD of 984, 388, 341, 858
• GCD of 767, 177, 177, 108

Given numbers are 489, 687, 923, 864
The greatest common divisor of numbers 489, 687, 923, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 687, 923, 864 is 1.

1. What is the GCD of 489, 687, 923, 864?

GCD of given numbers 489, 687, 923, 864 is 1

2. How to calculate the greatest common divisor of 489, 687, 923, 864?

We can find the highest common divisor of 489, 687, 923, 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 489, 687, 923, 864 i.e 1.

3. How can I use the GCD of 489, 687, 923, 864Calculator?

Out the numbers 489, 687, 923, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.