GCD of 384, 675, 338, 584 Calculator

Given Input numbers are 384, 675, 338, 584

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 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

GCD of numbers is the greatest common divisor

So, the GCD (384, 675, 338, 584) = 1.

Given numbers are 384, 675, 338, 584

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 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 338 are 2 x 13 x 13

Prime factors of 584 are 2 x 2 x 2 x 73

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

Given numbers are 384, 675, 338, 584

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

Apply this formula for all numbers.

Step1:

LCM(384, 675) = 86400

GCD(384, 675) = ( 384 x 675 ) / 86400

= 384 / 675

= 384

Step2:

LCM(3, 338) = 1014

GCD(3, 338) = ( 3 x 338 ) / 1014

= 3 / 338

= 3

Step3:

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

= 1 / 584

= 1

So, Greatest Common Divisor of 384, 675, 338, 584 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 740, 132, 163, 877
• GCD of 449, 266, 920, 959
• GCD of 188, 756, 424, 308
• GCD of 567, 866, 641, 492
• GCD of 100, 510, 769, 272

Given numbers are 384, 675, 338, 584
The greatest common divisor of numbers 384, 675, 338, 584 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 675, 338, 584 is 1.

1. What is the GCD of 384, 675, 338, 584?

GCD of given numbers 384, 675, 338, 584 is 1

2. How to calculate the greatest common divisor of 384, 675, 338, 584?

We can find the highest common divisor of 384, 675, 338, 584 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, 675, 338, 584 i.e 1.

3. How can I use the GCD of 384, 675, 338, 584Calculator?

Out the numbers 384, 675, 338, 584 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.