GCD of 432, 384, 405, 983 Calculator

Given Input numbers are 432, 384, 405, 983

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 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 405 :

The positive integer divisors of 405 that completely divides 405 are.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 983 :

The positive integer divisors of 983 that completely divides 983 are.

1, 983

GCD of numbers is the greatest common divisor

So, the GCD (432, 384, 405, 983) = 1.

Given numbers are 432, 384, 405, 983

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 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 405 are 3 x 3 x 3 x 3 x 5

Prime factors of 983 are 983

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

Given numbers are 432, 384, 405, 983

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

Apply this formula for all numbers.

Step1:

LCM(432, 384) = 3456

GCD(432, 384) = ( 432 x 384 ) / 3456

= 432 / 384

= 432

Step2:

LCM(48, 405) = 6480

GCD(48, 405) = ( 48 x 405 ) / 6480

= 48 / 405

= 48

Step3:

LCM(3, 983) = 2949

GCD(3, 983) = ( 3 x 983 ) / 2949

= 3 / 983

= 3

So, Greatest Common Divisor of 432, 384, 405, 983 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 289, 758, 683, 678
• GCD of 736, 525, 550, 525
• GCD of 236, 813, 165, 274
• GCD of 121, 537, 553, 206
• GCD of 650, 782, 521, 619

Given numbers are 432, 384, 405, 983
The greatest common divisor of numbers 432, 384, 405, 983 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 384, 405, 983 is 1.

1. What is the GCD of 432, 384, 405, 983?

GCD of given numbers 432, 384, 405, 983 is 1

2. How to calculate the greatest common divisor of 432, 384, 405, 983?

We can find the highest common divisor of 432, 384, 405, 983 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, 384, 405, 983 i.e 1.

3. How can I use the GCD of 432, 384, 405, 983Calculator?

Out the numbers 432, 384, 405, 983 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.