GCD of 384, 109, 15, 204 Calculator

Given Input numbers are 384, 109, 15, 204

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

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 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 15 :

The positive integer divisors of 15 that completely divides 15 are.

1, 3, 5, 15

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

GCD of numbers is the greatest common divisor

So, the GCD (384, 109, 15, 204) = 1.

Given numbers are 384, 109, 15, 204

The list of prime factors of all numbers are

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

Prime factors of 109 are 109

Prime factors of 15 are 3 x 5

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

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

Given numbers are 384, 109, 15, 204

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

Apply this formula for all numbers.

Step1:

LCM(384, 109) = 41856

GCD(384, 109) = ( 384 x 109 ) / 41856

= 384 / 109

= 384

Step2:

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

= 1 / 15

= 1

Step3:

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

= 1 / 204

= 1

So, Greatest Common Divisor of 384, 109, 15, 204 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 998, 266, 85, 553
• GCD of 437, 358, 65, 534
• GCD of 793, 703, 22, 682
• GCD of 599, 108, 30, 467
• GCD of 578, 271, 10, 700

Given numbers are 384, 109, 15, 204
The greatest common divisor of numbers 384, 109, 15, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 109, 15, 204 is 1.

1. What is the GCD of 384, 109, 15, 204?

GCD of given numbers 384, 109, 15, 204 is 1

2. How to calculate the greatest common divisor of 384, 109, 15, 204?

We can find the highest common divisor of 384, 109, 15, 204 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 384, 109, 15, 204 i.e 1.

3. How can I use the GCD of 384, 109, 15, 204Calculator?

Out the numbers 384, 109, 15, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.