GCD of 432, 990, 475, 438 Calculator

Given Input numbers are 432, 990, 475, 438

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 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

Divisors of 475 :

The positive integer divisors of 475 that completely divides 475 are.

1, 5, 19, 25, 95, 475

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

GCD of numbers is the greatest common divisor

So, the GCD (432, 990, 475, 438) = 1.

Given numbers are 432, 990, 475, 438

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 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 475 are 5 x 5 x 19

Prime factors of 438 are 2 x 3 x 73

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 432, 990, 475, 438

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

Apply this formula for all numbers.

Step1:

LCM(432, 990) = 23760

GCD(432, 990) = ( 432 x 990 ) / 23760

= 432 / 990

= 432

Step2:

LCM(18, 475) = 8550

GCD(18, 475) = ( 18 x 475 ) / 8550

= 18 / 475

= 18

Step3:

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

= 1 / 438

= 1

So, Greatest Common Divisor of 432, 990, 475, 438 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 900, 220, 217, 820
• GCD of 159, 951, 654, 636
• GCD of 209, 422, 600, 329
• GCD of 423, 381, 424, 792
• GCD of 664, 908, 409, 786

Given numbers are 432, 990, 475, 438
The greatest common divisor of numbers 432, 990, 475, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 990, 475, 438 is 1.

1. What is the GCD of 432, 990, 475, 438?

GCD of given numbers 432, 990, 475, 438 is 1

2. How to calculate the greatest common divisor of 432, 990, 475, 438?

We can find the highest common divisor of 432, 990, 475, 438 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, 990, 475, 438 i.e 1.

3. How can I use the GCD of 432, 990, 475, 438Calculator?

Out the numbers 432, 990, 475, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.