GCD of 192, 738, 27, 864 Calculator

Given Input numbers are 192, 738, 27, 864

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 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 27 :

The positive integer divisors of 27 that completely divides 27 are.

1, 3, 9, 27

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

GCD of numbers is the greatest common divisor

So, the GCD (192, 738, 27, 864) = 3.

Given numbers are 192, 738, 27, 864

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 738 are 2 x 3 x 3 x 41

Prime factors of 27 are 3 x 3 x 3

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 192, 738, 27, 864 is 3.

Given numbers are 192, 738, 27, 864

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

Apply this formula for all numbers.

Step1:

LCM(192, 738) = 23616

GCD(192, 738) = ( 192 x 738 ) / 23616

= 192 / 738

= 192

Step2:

LCM(6, 27) = 54

GCD(6, 27) = ( 6 x 27 ) / 54

= 6 / 27

= 6

Step3:

LCM(3, 864) = 864

GCD(3, 864) = ( 3 x 864 ) / 864

= 3 / 864

= 3

So, Greatest Common Divisor of 192, 738, 27, 864 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 497, 554, 50, 663
• GCD of 994, 563, 37, 477
• GCD of 580, 754, 38, 626
• GCD of 116, 789, 34, 745
• GCD of 601, 433, 64, 773

Given numbers are 192, 738, 27, 864
The greatest common divisor of numbers 192, 738, 27, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 192, 738, 27, 864 is 3.

1. What is the GCD of 192, 738, 27, 864?

GCD of given numbers 192, 738, 27, 864 is 3

2. How to calculate the greatest common divisor of 192, 738, 27, 864?

We can find the highest common divisor of 192, 738, 27, 864 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, 738, 27, 864 i.e 3.

3. How can I use the GCD of 192, 738, 27, 864Calculator?

Out the numbers 192, 738, 27, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.