GCD of 189, 231, 527, 864 Calculator

Given Input numbers are 189, 231, 527, 864

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

Divisors of 189 :

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

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

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 527 :

The positive integer divisors of 527 that completely divides 527 are.

1, 17, 31, 527

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

GCD of numbers is the greatest common divisor

So, the GCD (189, 231, 527, 864) = 1.

Given numbers are 189, 231, 527, 864

The list of prime factors of all numbers are

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

Prime factors of 231 are 3 x 7 x 11

Prime factors of 527 are 17 x 31

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Given numbers are 189, 231, 527, 864

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

Apply this formula for all numbers.

Step1:

LCM(189, 231) = 2079

GCD(189, 231) = ( 189 x 231 ) / 2079

= 189 / 231

= 189

Step2:

LCM(21, 527) = 11067

GCD(21, 527) = ( 21 x 527 ) / 11067

= 21 / 527

= 21

Step3:

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

= 1 / 864

= 1

So, Greatest Common Divisor of 189, 231, 527, 864 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 325, 369, 363, 918
• GCD of 352, 255, 330, 128
• GCD of 563, 530, 699, 692
• GCD of 134, 770, 578, 418
• GCD of 619, 893, 441, 683

Given numbers are 189, 231, 527, 864
The greatest common divisor of numbers 189, 231, 527, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 231, 527, 864 is 1.

1. What is the GCD of 189, 231, 527, 864?

GCD of given numbers 189, 231, 527, 864 is 1

2. How to calculate the greatest common divisor of 189, 231, 527, 864?

We can find the highest common divisor of 189, 231, 527, 864 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 189, 231, 527, 864 i.e 1.

3. How can I use the GCD of 189, 231, 527, 864Calculator?

Out the numbers 189, 231, 527, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.