GCD of 384, 600, 405 Calculator

Given Input numbers are 384, 600, 405

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

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 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 405 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (384, 600, 405) = 3.

Given numbers are 384, 600, 405

The list of prime factors of all numbers are

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

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

The highest common occurrence is 3¹

Therefore, GCD of 384, 600, 405 is 3.

Given numbers are 384, 600, 405

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

Apply this formula for all numbers.

Step1:

LCM(384, 600) = 9600

GCD(384, 600) = ( 384 x 600 ) / 9600

= 384 / 600

= 384

Step2:

LCM(24, 405) = 3240

GCD(24, 405) = ( 24 x 405 ) / 3240

= 24 / 405

= 24

So, Greatest Common Divisor of 384, 600, 405 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 373, 438, 763
• GCD of 347, 553, 618
• GCD of 655, 633, 847
• GCD of 582, 266, 963
• GCD of 497, 951, 751

Given numbers are 384, 600, 405
The greatest common divisor of numbers 384, 600, 405 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 600, 405 is 3.

1. What is the GCD of 384, 600, 405?

GCD of given numbers 384, 600, 405 is 3

2. How to calculate the greatest common divisor of 384, 600, 405?

We can find the highest common divisor of 384, 600, 405 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 384, 600, 405 i.e 3.

3. How can I use the GCD of 384, 600, 405Calculator?

Out the numbers 384, 600, 405 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.