GCD of 999, 384, 816, 412 Calculator

Given Input numbers are 999, 384, 816, 412

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

Divisors of 999 :

The positive integer divisors of 999 that completely divides 999 are.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

GCD of numbers is the greatest common divisor

So, the GCD (999, 384, 816, 412) = 1.

Given numbers are 999, 384, 816, 412

The list of prime factors of all numbers are

Prime factors of 999 are 3 x 3 x 3 x 37

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 412 are 2 x 2 x 103

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

Given numbers are 999, 384, 816, 412

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

Apply this formula for all numbers.

Step1:

LCM(999, 384) = 127872

GCD(999, 384) = ( 999 x 384 ) / 127872

= 999 / 384

= 999

Step2:

LCM(3, 816) = 816

GCD(3, 816) = ( 3 x 816 ) / 816

= 3 / 816

= 3

Step3:

LCM(3, 412) = 1236

GCD(3, 412) = ( 3 x 412 ) / 1236

= 3 / 412

= 3

So, Greatest Common Divisor of 999, 384, 816, 412 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 620, 261, 801, 144
• GCD of 800, 735, 215, 855
• GCD of 481, 260, 714, 348
• GCD of 107, 646, 631, 101
• GCD of 805, 330, 956, 908

Given numbers are 999, 384, 816, 412
The greatest common divisor of numbers 999, 384, 816, 412 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 999, 384, 816, 412 is 1.

1. What is the GCD of 999, 384, 816, 412?

GCD of given numbers 999, 384, 816, 412 is 1

2. How to calculate the greatest common divisor of 999, 384, 816, 412?

We can find the highest common divisor of 999, 384, 816, 412 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 999, 384, 816, 412 i.e 1.

3. How can I use the GCD of 999, 384, 816, 412Calculator?

Out the numbers 999, 384, 816, 412 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.