GCD of 399, 180, 204, 287 Calculator

Given Input numbers are 399, 180, 204, 287

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

Divisors of 399 :

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

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 287 :

The positive integer divisors of 287 that completely divides 287 are.

1, 7, 41, 287

GCD of numbers is the greatest common divisor

So, the GCD (399, 180, 204, 287) = 1.

Given numbers are 399, 180, 204, 287

The list of prime factors of all numbers are

Prime factors of 399 are 3 x 7 x 19

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 287 are 7 x 41

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

Given numbers are 399, 180, 204, 287

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

Apply this formula for all numbers.

Step1:

LCM(399, 180) = 23940

GCD(399, 180) = ( 399 x 180 ) / 23940

= 399 / 180

= 399

Step2:

LCM(3, 204) = 204

GCD(3, 204) = ( 3 x 204 ) / 204

= 3 / 204

= 3

Step3:

LCM(3, 287) = 861

GCD(3, 287) = ( 3 x 287 ) / 861

= 3 / 287

= 3

So, Greatest Common Divisor of 399, 180, 204, 287 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 351, 196, 400, 622
• GCD of 542, 840, 438, 431
• GCD of 620, 794, 821, 684
• GCD of 957, 933, 961, 484
• GCD of 840, 656, 388, 199

Given numbers are 399, 180, 204, 287
The greatest common divisor of numbers 399, 180, 204, 287 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 399, 180, 204, 287 is 1.

1. What is the GCD of 399, 180, 204, 287?

GCD of given numbers 399, 180, 204, 287 is 1

2. How to calculate the greatest common divisor of 399, 180, 204, 287?

We can find the highest common divisor of 399, 180, 204, 287 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 399, 180, 204, 287 i.e 1.

3. How can I use the GCD of 399, 180, 204, 287Calculator?

Out the numbers 399, 180, 204, 287 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.