GCD of 408, 468, 819, 216 Calculator

Given Input numbers are 408, 468, 819, 216

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 819 :

The positive integer divisors of 819 that completely divides 819 are.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

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 (408, 468, 819, 216) = 3.

Given numbers are 408, 468, 819, 216

The list of prime factors of all numbers are

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 819 are 3 x 3 x 7 x 13

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 408, 468, 819, 216 is 3.

Given numbers are 408, 468, 819, 216

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

Apply this formula for all numbers.

Step1:

LCM(408, 468) = 15912

GCD(408, 468) = ( 408 x 468 ) / 15912

= 408 / 468

= 408

Step2:

LCM(12, 819) = 3276

GCD(12, 819) = ( 12 x 819 ) / 3276

= 12 / 819

= 12

Step3:

LCM(3, 216) = 216

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

= 3 / 216

= 3

So, Greatest Common Divisor of 408, 468, 819, 216 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 116, 211, 961, 874
• GCD of 417, 688, 135, 237
• GCD of 457, 321, 428, 972
• GCD of 387, 266, 607, 440
• GCD of 877, 780, 736, 504

Given numbers are 408, 468, 819, 216
The greatest common divisor of numbers 408, 468, 819, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 468, 819, 216 is 3.

1. What is the GCD of 408, 468, 819, 216?

GCD of given numbers 408, 468, 819, 216 is 3

2. How to calculate the greatest common divisor of 408, 468, 819, 216?

We can find the highest common divisor of 408, 468, 819, 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 408, 468, 819, 216 i.e 3.

3. How can I use the GCD of 408, 468, 819, 216Calculator?

Out the numbers 408, 468, 819, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.