GCD of 432, 960, 12, 555 Calculator

Given Input numbers are 432, 960, 12, 555

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 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 12 :

The positive integer divisors of 12 that completely divides 12 are.

1, 2, 3, 4, 6, 12

Divisors of 555 :

The positive integer divisors of 555 that completely divides 555 are.

1, 3, 5, 15, 37, 111, 185, 555

GCD of numbers is the greatest common divisor

So, the GCD (432, 960, 12, 555) = 3.

Given numbers are 432, 960, 12, 555

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 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 12 are 2 x 2 x 3

Prime factors of 555 are 3 x 5 x 37

The highest common occurrence is 3¹

Therefore, GCD of 432, 960, 12, 555 is 3.

Given numbers are 432, 960, 12, 555

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

Apply this formula for all numbers.

Step1:

LCM(432, 960) = 8640

GCD(432, 960) = ( 432 x 960 ) / 8640

= 432 / 960

= 432

Step2:

LCM(48, 12) = 48

GCD(48, 12) = ( 48 x 12 ) / 48

= 48 / 12

= 48

Step3:

LCM(12, 555) = 2220

GCD(12, 555) = ( 12 x 555 ) / 2220

= 12 / 555

= 12

So, Greatest Common Divisor of 432, 960, 12, 555 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 444, 610, 78, 874
• GCD of 433, 142, 77, 208
• GCD of 285, 782, 91, 862
• GCD of 668, 386, 77, 558
• GCD of 462, 604, 22, 129

Given numbers are 432, 960, 12, 555
The greatest common divisor of numbers 432, 960, 12, 555 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 960, 12, 555 is 3.

1. What is the GCD of 432, 960, 12, 555?

GCD of given numbers 432, 960, 12, 555 is 3

2. How to calculate the greatest common divisor of 432, 960, 12, 555?

We can find the highest common divisor of 432, 960, 12, 555 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, 960, 12, 555 i.e 3.

3. How can I use the GCD of 432, 960, 12, 555Calculator?

Out the numbers 432, 960, 12, 555 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.