GCD of 288, 189, 207, 378 Calculator

Given Input numbers are 288, 189, 207, 378

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 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 207 :

The positive integer divisors of 207 that completely divides 207 are.

1, 3, 9, 23, 69, 207

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

GCD of numbers is the greatest common divisor

So, the GCD (288, 189, 207, 378) = 9.

Given numbers are 288, 189, 207, 378

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 189 are 3 x 3 x 3 x 7

Prime factors of 207 are 3 x 3 x 23

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

The highest common occurrence is 3²

Therefore, GCD of 288, 189, 207, 378 is 9.

Given numbers are 288, 189, 207, 378

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

Apply this formula for all numbers.

Step1:

LCM(288, 189) = 6048

GCD(288, 189) = ( 288 x 189 ) / 6048

= 288 / 189

= 288

Step2:

LCM(9, 207) = 207

GCD(9, 207) = ( 9 x 207 ) / 207

= 9 / 207

= 9

Step3:

LCM(9, 378) = 378

GCD(9, 378) = ( 9 x 378 ) / 378

= 9 / 378

= 9

So, Greatest Common Divisor of 288, 189, 207, 378 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 878, 455, 181, 258
• GCD of 709, 545, 509, 452
• GCD of 286, 149, 403, 692
• GCD of 472, 224, 448, 343
• GCD of 248, 419, 796, 406

Given numbers are 288, 189, 207, 378
The greatest common divisor of numbers 288, 189, 207, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 189, 207, 378 is 9.

1. What is the GCD of 288, 189, 207, 378?

GCD of given numbers 288, 189, 207, 378 is 9

2. How to calculate the greatest common divisor of 288, 189, 207, 378?

We can find the highest common divisor of 288, 189, 207, 378 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, 189, 207, 378 i.e 9.

3. How can I use the GCD of 288, 189, 207, 378Calculator?

Out the numbers 288, 189, 207, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.