GCD of 432, 192, 165 Calculator

Given Input numbers are 432, 192, 165

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

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 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 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

GCD of numbers is the greatest common divisor

So, the GCD (432, 192, 165) = 3.

Given numbers are 432, 192, 165

The list of prime factors of all numbers are

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

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

Prime factors of 165 are 3 x 5 x 11

The highest common occurrence is 3¹

Therefore, GCD of 432, 192, 165 is 3.

Given numbers are 432, 192, 165

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

Apply this formula for all numbers.

Step1:

LCM(432, 192) = 1728

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

= 432 / 192

= 432

Step2:

LCM(48, 165) = 2640

GCD(48, 165) = ( 48 x 165 ) / 2640

= 48 / 165

= 48

So, Greatest Common Divisor of 432, 192, 165 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 844, 515, 545
• GCD of 863, 825, 370
• GCD of 589, 725, 497
• GCD of 520, 197, 722
• GCD of 219, 497, 320

Given numbers are 432, 192, 165
The greatest common divisor of numbers 432, 192, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 192, 165 is 3.

1. What is the GCD of 432, 192, 165?

GCD of given numbers 432, 192, 165 is 3

2. How to calculate the greatest common divisor of 432, 192, 165?

We can find the highest common divisor of 432, 192, 165 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 432, 192, 165 i.e 3.

3. How can I use the GCD of 432, 192, 165Calculator?

Out the numbers 432, 192, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.