GCD of 214, 104, 999, 389 Calculator

Given Input numbers are 214, 104, 999, 389

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

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 999 :

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

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

Divisors of 389 :

The positive integer divisors of 389 that completely divides 389 are.

1, 389

GCD of numbers is the greatest common divisor

So, the GCD (214, 104, 999, 389) = 1.

Given numbers are 214, 104, 999, 389

The list of prime factors of all numbers are

Prime factors of 214 are 2 x 107

Prime factors of 104 are 2 x 2 x 2 x 13

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

Prime factors of 389 are 389

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

Given numbers are 214, 104, 999, 389

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

Apply this formula for all numbers.

Step1:

LCM(214, 104) = 11128

GCD(214, 104) = ( 214 x 104 ) / 11128

= 214 / 104

= 214

Step2:

LCM(2, 999) = 1998

GCD(2, 999) = ( 2 x 999 ) / 1998

= 2 / 999

= 2

Step3:

LCM(1, 389) = 389

GCD(1, 389) = ( 1 x 389 ) / 389

= 1 / 389

= 1

So, Greatest Common Divisor of 214, 104, 999, 389 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 137, 307, 731, 454
• GCD of 193, 270, 231, 913
• GCD of 920, 642, 865, 205
• GCD of 867, 358, 955, 146
• GCD of 975, 918, 574, 450

Given numbers are 214, 104, 999, 389
The greatest common divisor of numbers 214, 104, 999, 389 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 104, 999, 389 is 1.

1. What is the GCD of 214, 104, 999, 389?

GCD of given numbers 214, 104, 999, 389 is 1

2. How to calculate the greatest common divisor of 214, 104, 999, 389?

We can find the highest common divisor of 214, 104, 999, 389 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 214, 104, 999, 389 i.e 1.

3. How can I use the GCD of 214, 104, 999, 389Calculator?

Out the numbers 214, 104, 999, 389 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.