GCD of 393, 249, 405, 216 Calculator

Given Input numbers are 393, 249, 405, 216

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

Divisors of 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

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 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

GCD of numbers is the greatest common divisor

So, the GCD (393, 249, 405, 216) = 3.

Given numbers are 393, 249, 405, 216

The list of prime factors of all numbers are

Prime factors of 393 are 3 x 131

Prime factors of 249 are 3 x 83

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

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 393, 249, 405, 216 is 3.

Given numbers are 393, 249, 405, 216

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

Apply this formula for all numbers.

Step1:

LCM(393, 249) = 32619

GCD(393, 249) = ( 393 x 249 ) / 32619

= 393 / 249

= 393

Step2:

LCM(3, 405) = 405

GCD(3, 405) = ( 3 x 405 ) / 405

= 3 / 405

= 3

Step3:

LCM(3, 216) = 216

GCD(3, 216) = ( 3 x 216 ) / 216

= 3 / 216

= 3

So, Greatest Common Divisor of 393, 249, 405, 216 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 492, 184, 985, 973
• GCD of 876, 256, 937, 612
• GCD of 230, 644, 416, 415
• GCD of 485, 166, 725, 224
• GCD of 754, 110, 123, 963

Given numbers are 393, 249, 405, 216
The greatest common divisor of numbers 393, 249, 405, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 393, 249, 405, 216 is 3.

1. What is the GCD of 393, 249, 405, 216?

GCD of given numbers 393, 249, 405, 216 is 3

2. How to calculate the greatest common divisor of 393, 249, 405, 216?

We can find the highest common divisor of 393, 249, 405, 216 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 393, 249, 405, 216 i.e 3.

3. How can I use the GCD of 393, 249, 405, 216Calculator?

Out the numbers 393, 249, 405, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.