GCD of 432, 189, 939, 990 Calculator

Given Input numbers are 432, 189, 939, 990

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 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 939 :

The positive integer divisors of 939 that completely divides 939 are.

1, 3, 313, 939

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

GCD of numbers is the greatest common divisor

So, the GCD (432, 189, 939, 990) = 3.

Given numbers are 432, 189, 939, 990

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 189 are 3 x 3 x 3 x 7

Prime factors of 939 are 3 x 313

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

The highest common occurrence is 3¹

Therefore, GCD of 432, 189, 939, 990 is 3.

Given numbers are 432, 189, 939, 990

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

Apply this formula for all numbers.

Step1:

LCM(432, 189) = 3024

GCD(432, 189) = ( 432 x 189 ) / 3024

= 432 / 189

= 432

Step2:

LCM(27, 939) = 8451

GCD(27, 939) = ( 27 x 939 ) / 8451

= 27 / 939

= 27

Step3:

LCM(3, 990) = 990

GCD(3, 990) = ( 3 x 990 ) / 990

= 3 / 990

= 3

So, Greatest Common Divisor of 432, 189, 939, 990 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 190, 463, 944, 217
• GCD of 897, 745, 673, 363
• GCD of 789, 480, 313, 103
• GCD of 225, 369, 408, 266
• GCD of 431, 119, 749, 202

Given numbers are 432, 189, 939, 990
The greatest common divisor of numbers 432, 189, 939, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 189, 939, 990 is 3.

1. What is the GCD of 432, 189, 939, 990?

GCD of given numbers 432, 189, 939, 990 is 3

2. How to calculate the greatest common divisor of 432, 189, 939, 990?

We can find the highest common divisor of 432, 189, 939, 990 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, 189, 939, 990 i.e 3.

3. How can I use the GCD of 432, 189, 939, 990Calculator?

Out the numbers 432, 189, 939, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.