GCD of 489, 654, 261, 864 Calculator

Given Input numbers are 489, 654, 261, 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 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

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, 654, 261, 864) = 3.

Given numbers are 489, 654, 261, 864

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 654 are 2 x 3 x 109

Prime factors of 261 are 3 x 3 x 29

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 3¹

Therefore, GCD of 489, 654, 261, 864 is 3.

Given numbers are 489, 654, 261, 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, 654) = 106602

GCD(489, 654) = ( 489 x 654 ) / 106602

= 489 / 654

= 489

Step2:

LCM(3, 261) = 261

GCD(3, 261) = ( 3 x 261 ) / 261

= 3 / 261

= 3

Step3:

LCM(3, 864) = 864

GCD(3, 864) = ( 3 x 864 ) / 864

= 3 / 864

= 3

So, Greatest Common Divisor of 489, 654, 261, 864 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 781, 169, 582, 466
• GCD of 946, 531, 403, 591
• GCD of 479, 671, 357, 449
• GCD of 362, 752, 502, 745
• GCD of 316, 893, 772, 741

Given numbers are 489, 654, 261, 864
The greatest common divisor of numbers 489, 654, 261, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 654, 261, 864 is 3.

1. What is the GCD of 489, 654, 261, 864?

GCD of given numbers 489, 654, 261, 864 is 3

2. How to calculate the greatest common divisor of 489, 654, 261, 864?

We can find the highest common divisor of 489, 654, 261, 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, 654, 261, 864 i.e 3.

3. How can I use the GCD of 489, 654, 261, 864Calculator?

Out the numbers 489, 654, 261, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.