GCD of 288, 314, 189, 327 Calculator

Given Input numbers are 288, 314, 189, 327

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 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 189 :

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

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

Divisors of 327 :

The positive integer divisors of 327 that completely divides 327 are.

1, 3, 109, 327

GCD of numbers is the greatest common divisor

So, the GCD (288, 314, 189, 327) = 1.

Given numbers are 288, 314, 189, 327

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 314 are 2 x 157

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 327 are 3 x 109

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 288, 314, 189, 327

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

Apply this formula for all numbers.

Step1:

LCM(288, 314) = 45216

GCD(288, 314) = ( 288 x 314 ) / 45216

= 288 / 314

= 288

Step2:

LCM(2, 189) = 378

GCD(2, 189) = ( 2 x 189 ) / 378

= 2 / 189

= 2

Step3:

LCM(1, 327) = 327

GCD(1, 327) = ( 1 x 327 ) / 327

= 1 / 327

= 1

So, Greatest Common Divisor of 288, 314, 189, 327 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 859, 391, 882, 190
• GCD of 260, 414, 226, 437
• GCD of 881, 694, 273, 923
• GCD of 731, 543, 754, 973
• GCD of 628, 885, 845, 813

Given numbers are 288, 314, 189, 327
The greatest common divisor of numbers 288, 314, 189, 327 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 314, 189, 327 is 1.

1. What is the GCD of 288, 314, 189, 327?

GCD of given numbers 288, 314, 189, 327 is 1

2. How to calculate the greatest common divisor of 288, 314, 189, 327?

We can find the highest common divisor of 288, 314, 189, 327 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, 314, 189, 327 i.e 1.

3. How can I use the GCD of 288, 314, 189, 327Calculator?

Out the numbers 288, 314, 189, 327 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.