GCD of 321, 864, 399, 423 Calculator

Given Input numbers are 321, 864, 399, 423

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

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

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 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

GCD of numbers is the greatest common divisor

So, the GCD (321, 864, 399, 423) = 3.

Given numbers are 321, 864, 399, 423

The list of prime factors of all numbers are

Prime factors of 321 are 3 x 107

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

Prime factors of 399 are 3 x 7 x 19

Prime factors of 423 are 3 x 3 x 47

The highest common occurrence is 3¹

Therefore, GCD of 321, 864, 399, 423 is 3.

Given numbers are 321, 864, 399, 423

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

Apply this formula for all numbers.

Step1:

LCM(321, 864) = 92448

GCD(321, 864) = ( 321 x 864 ) / 92448

= 321 / 864

= 321

Step2:

LCM(3, 399) = 399

GCD(3, 399) = ( 3 x 399 ) / 399

= 3 / 399

= 3

Step3:

LCM(3, 423) = 423

GCD(3, 423) = ( 3 x 423 ) / 423

= 3 / 423

= 3

So, Greatest Common Divisor of 321, 864, 399, 423 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 300, 867, 928, 903
• GCD of 243, 990, 481, 648
• GCD of 566, 757, 364, 453
• GCD of 974, 653, 777, 998
• GCD of 827, 140, 237, 819

Given numbers are 321, 864, 399, 423
The greatest common divisor of numbers 321, 864, 399, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 321, 864, 399, 423 is 3.

1. What is the GCD of 321, 864, 399, 423?

GCD of given numbers 321, 864, 399, 423 is 3

2. How to calculate the greatest common divisor of 321, 864, 399, 423?

We can find the highest common divisor of 321, 864, 399, 423 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 321, 864, 399, 423 i.e 3.

3. How can I use the GCD of 321, 864, 399, 423Calculator?

Out the numbers 321, 864, 399, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.