GCD of 864, 675, 144, 483 Calculator

Given Input numbers are 864, 675, 144, 483

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 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 483 :

The positive integer divisors of 483 that completely divides 483 are.

1, 3, 7, 21, 23, 69, 161, 483

GCD of numbers is the greatest common divisor

So, the GCD (864, 675, 144, 483) = 3.

Given numbers are 864, 675, 144, 483

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 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 483 are 3 x 7 x 23

The highest common occurrence is 3¹

Therefore, GCD of 864, 675, 144, 483 is 3.

Given numbers are 864, 675, 144, 483

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

Apply this formula for all numbers.

Step1:

LCM(864, 675) = 21600

GCD(864, 675) = ( 864 x 675 ) / 21600

= 864 / 675

= 864

Step2:

LCM(27, 144) = 432

GCD(27, 144) = ( 27 x 144 ) / 432

= 27 / 144

= 27

Step3:

LCM(9, 483) = 1449

GCD(9, 483) = ( 9 x 483 ) / 1449

= 9 / 483

= 9

So, Greatest Common Divisor of 864, 675, 144, 483 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 888, 917, 535, 602
• GCD of 208, 420, 106, 611
• GCD of 744, 823, 993, 379
• GCD of 364, 773, 701, 338
• GCD of 847, 994, 832, 115

Given numbers are 864, 675, 144, 483
The greatest common divisor of numbers 864, 675, 144, 483 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 675, 144, 483 is 3.

1. What is the GCD of 864, 675, 144, 483?

GCD of given numbers 864, 675, 144, 483 is 3

2. How to calculate the greatest common divisor of 864, 675, 144, 483?

We can find the highest common divisor of 864, 675, 144, 483 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, 675, 144, 483 i.e 3.

3. How can I use the GCD of 864, 675, 144, 483Calculator?

Out the numbers 864, 675, 144, 483 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.