GCD of 489, 960, 589, 796 Calculator

Given Input numbers are 489, 960, 589, 796

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 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 589 :

The positive integer divisors of 589 that completely divides 589 are.

1, 19, 31, 589

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

GCD of numbers is the greatest common divisor

So, the GCD (489, 960, 589, 796) = 1.

Given numbers are 489, 960, 589, 796

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 589 are 19 x 31

Prime factors of 796 are 2 x 2 x 199

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

Given numbers are 489, 960, 589, 796

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

Apply this formula for all numbers.

Step1:

LCM(489, 960) = 156480

GCD(489, 960) = ( 489 x 960 ) / 156480

= 489 / 960

= 489

Step2:

LCM(3, 589) = 1767

GCD(3, 589) = ( 3 x 589 ) / 1767

= 3 / 589

= 3

Step3:

LCM(1, 796) = 796

GCD(1, 796) = ( 1 x 796 ) / 796

= 1 / 796

= 1

So, Greatest Common Divisor of 489, 960, 589, 796 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 917, 192, 244, 255
• GCD of 342, 520, 221, 657
• GCD of 957, 922, 868, 211
• GCD of 531, 618, 822, 895
• GCD of 548, 602, 627, 707

Given numbers are 489, 960, 589, 796
The greatest common divisor of numbers 489, 960, 589, 796 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 960, 589, 796 is 1.

1. What is the GCD of 489, 960, 589, 796?

GCD of given numbers 489, 960, 589, 796 is 1

2. How to calculate the greatest common divisor of 489, 960, 589, 796?

We can find the highest common divisor of 489, 960, 589, 796 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, 960, 589, 796 i.e 1.

3. How can I use the GCD of 489, 960, 589, 796Calculator?

Out the numbers 489, 960, 589, 796 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.