GCD of 384, 645, 519, 198 Calculator

Given Input numbers are 384, 645, 519, 198

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 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 519 :

The positive integer divisors of 519 that completely divides 519 are.

1, 3, 173, 519

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

GCD of numbers is the greatest common divisor

So, the GCD (384, 645, 519, 198) = 3.

Given numbers are 384, 645, 519, 198

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 645 are 3 x 5 x 43

Prime factors of 519 are 3 x 173

Prime factors of 198 are 2 x 3 x 3 x 11

The highest common occurrence is 3¹

Therefore, GCD of 384, 645, 519, 198 is 3.

Given numbers are 384, 645, 519, 198

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

Apply this formula for all numbers.

Step1:

LCM(384, 645) = 82560

GCD(384, 645) = ( 384 x 645 ) / 82560

= 384 / 645

= 384

Step2:

LCM(3, 519) = 519

GCD(3, 519) = ( 3 x 519 ) / 519

= 3 / 519

= 3

Step3:

LCM(3, 198) = 198

GCD(3, 198) = ( 3 x 198 ) / 198

= 3 / 198

= 3

So, Greatest Common Divisor of 384, 645, 519, 198 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 511, 201, 635, 924
• GCD of 448, 394, 784, 653
• GCD of 772, 208, 967, 492
• GCD of 730, 222, 922, 873
• GCD of 326, 395, 165, 641

Given numbers are 384, 645, 519, 198
The greatest common divisor of numbers 384, 645, 519, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 645, 519, 198 is 3.

1. What is the GCD of 384, 645, 519, 198?

GCD of given numbers 384, 645, 519, 198 is 3

2. How to calculate the greatest common divisor of 384, 645, 519, 198?

We can find the highest common divisor of 384, 645, 519, 198 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, 645, 519, 198 i.e 3.

3. How can I use the GCD of 384, 645, 519, 198Calculator?

Out the numbers 384, 645, 519, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.