GCD of 192, 384, 432, 678 Calculator

Given Input numbers are 192, 384, 432, 678

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

Divisors of 192 :

The positive integer divisors of 192 that completely divides 192 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

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 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

GCD of numbers is the greatest common divisor

So, the GCD (192, 384, 432, 678) = 6.

Given numbers are 192, 384, 432, 678

The list of prime factors of all numbers are

Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 192, 384, 432, 678 is 6.

Given numbers are 192, 384, 432, 678

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

Apply this formula for all numbers.

Step1:

LCM(192, 384) = 384

GCD(192, 384) = ( 192 x 384 ) / 384

= 192 / 384

= 192

Step2:

LCM(192, 432) = 1728

GCD(192, 432) = ( 192 x 432 ) / 1728

= 192 / 432

= 192

Step3:

LCM(48, 678) = 5424

GCD(48, 678) = ( 48 x 678 ) / 5424

= 48 / 678

= 48

So, Greatest Common Divisor of 192, 384, 432, 678 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 459, 225, 891, 663
• GCD of 243, 215, 218, 907
• GCD of 777, 274, 648, 942
• GCD of 640, 256, 122, 444
• GCD of 415, 222, 952, 802

Given numbers are 192, 384, 432, 678
The greatest common divisor of numbers 192, 384, 432, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 192, 384, 432, 678 is 6.

1. What is the GCD of 192, 384, 432, 678?

GCD of given numbers 192, 384, 432, 678 is 6

2. How to calculate the greatest common divisor of 192, 384, 432, 678?

We can find the highest common divisor of 192, 384, 432, 678 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 192, 384, 432, 678 i.e 6.

3. How can I use the GCD of 192, 384, 432, 678Calculator?

Out the numbers 192, 384, 432, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.