GCD of 288, 684, 816, 684 Calculator

Given Input numbers are 288, 684, 816, 684

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

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (288, 684, 816, 684) = 12.

Given numbers are 288, 684, 816, 684

The list of prime factors of all numbers are

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

The highest common occurrence is 2² x 3¹

Therefore, GCD of 288, 684, 816, 684 is 12.

Given numbers are 288, 684, 816, 684

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

Apply this formula for all numbers.

Step1:

LCM(288, 684) = 5472

GCD(288, 684) = ( 288 x 684 ) / 5472

= 288 / 684

= 288

Step2:

LCM(36, 816) = 2448

GCD(36, 816) = ( 36 x 816 ) / 2448

= 36 / 816

= 36

Step3:

LCM(12, 684) = 684

GCD(12, 684) = ( 12 x 684 ) / 684

= 12 / 684

= 12

So, Greatest Common Divisor of 288, 684, 816, 684 is 12

Here are some samples of GCD of Numbers calculations.

• GCD of 402, 532, 480, 683
• GCD of 567, 353, 488, 627
• GCD of 352, 260, 433, 952
• GCD of 313, 464, 731, 762
• GCD of 682, 111, 252, 196

Given numbers are 288, 684, 816, 684
The greatest common divisor of numbers 288, 684, 816, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 684, 816, 684 is 12.

1. What is the GCD of 288, 684, 816, 684?

GCD of given numbers 288, 684, 816, 684 is 12

2. How to calculate the greatest common divisor of 288, 684, 816, 684?

We can find the highest common divisor of 288, 684, 816, 684 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 288, 684, 816, 684 i.e 12.

3. How can I use the GCD of 288, 684, 816, 684Calculator?

Out the numbers 288, 684, 816, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.