GCD of 384, 338, 382, 117 Calculator

Given Input numbers are 384, 338, 382, 117

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 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

GCD of numbers is the greatest common divisor

So, the GCD (384, 338, 382, 117) = 1.

Given numbers are 384, 338, 382, 117

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 338 are 2 x 13 x 13

Prime factors of 382 are 2 x 191

Prime factors of 117 are 3 x 3 x 13

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

Given numbers are 384, 338, 382, 117

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

Apply this formula for all numbers.

Step1:

LCM(384, 338) = 64896

GCD(384, 338) = ( 384 x 338 ) / 64896

= 384 / 338

= 384

Step2:

LCM(2, 382) = 382

GCD(2, 382) = ( 2 x 382 ) / 382

= 2 / 382

= 2

Step3:

LCM(2, 117) = 234

GCD(2, 117) = ( 2 x 117 ) / 234

= 2 / 117

= 2

So, Greatest Common Divisor of 384, 338, 382, 117 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 713, 942, 423, 730
• GCD of 290, 605, 204, 769
• GCD of 345, 583, 514, 463
• GCD of 560, 889, 551, 273
• GCD of 949, 871, 808, 355

Given numbers are 384, 338, 382, 117
The greatest common divisor of numbers 384, 338, 382, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 338, 382, 117 is 1.

1. What is the GCD of 384, 338, 382, 117?

GCD of given numbers 384, 338, 382, 117 is 1

2. How to calculate the greatest common divisor of 384, 338, 382, 117?

We can find the highest common divisor of 384, 338, 382, 117 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, 338, 382, 117 i.e 1.

3. How can I use the GCD of 384, 338, 382, 117Calculator?

Out the numbers 384, 338, 382, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.