GCD of 489, 456, 585, 504 Calculator

Given Input numbers are 489, 456, 585, 504

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 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

GCD of numbers is the greatest common divisor

So, the GCD (489, 456, 585, 504) = 3.

Given numbers are 489, 456, 585, 504

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 489, 456, 585, 504 is 3.

Given numbers are 489, 456, 585, 504

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

Apply this formula for all numbers.

Step1:

LCM(489, 456) = 74328

GCD(489, 456) = ( 489 x 456 ) / 74328

= 489 / 456

= 489

Step2:

LCM(3, 585) = 585

GCD(3, 585) = ( 3 x 585 ) / 585

= 3 / 585

= 3

Step3:

LCM(3, 504) = 504

GCD(3, 504) = ( 3 x 504 ) / 504

= 3 / 504

= 3

So, Greatest Common Divisor of 489, 456, 585, 504 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 846, 215, 620, 667
• GCD of 945, 878, 280, 277
• GCD of 630, 907, 318, 907
• GCD of 586, 454, 329, 415
• GCD of 493, 117, 602, 899

Given numbers are 489, 456, 585, 504
The greatest common divisor of numbers 489, 456, 585, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 456, 585, 504 is 3.

1. What is the GCD of 489, 456, 585, 504?

GCD of given numbers 489, 456, 585, 504 is 3

2. How to calculate the greatest common divisor of 489, 456, 585, 504?

We can find the highest common divisor of 489, 456, 585, 504 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, 456, 585, 504 i.e 3.

3. How can I use the GCD of 489, 456, 585, 504Calculator?

Out the numbers 489, 456, 585, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.