GCD of 864, 888, 230, 214 Calculator

Given Input numbers are 864, 888, 230, 214

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

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

Divisors of 888 :

The positive integer divisors of 888 that completely divides 888 are.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (864, 888, 230, 214) = 2.

Given numbers are 864, 888, 230, 214

The list of prime factors of all numbers are

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

Prime factors of 888 are 2 x 2 x 2 x 3 x 37

Prime factors of 230 are 2 x 5 x 23

Prime factors of 214 are 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 864, 888, 230, 214 is 2.

Given numbers are 864, 888, 230, 214

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

Apply this formula for all numbers.

Step1:

LCM(864, 888) = 31968

GCD(864, 888) = ( 864 x 888 ) / 31968

= 864 / 888

= 864

Step2:

LCM(24, 230) = 2760

GCD(24, 230) = ( 24 x 230 ) / 2760

= 24 / 230

= 24

Step3:

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

= 2 / 214

= 2

So, Greatest Common Divisor of 864, 888, 230, 214 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 321, 198, 122, 807
• GCD of 632, 182, 298, 224
• GCD of 800, 986, 583, 555
• GCD of 476, 574, 424, 977
• GCD of 379, 918, 494, 329

Given numbers are 864, 888, 230, 214
The greatest common divisor of numbers 864, 888, 230, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 888, 230, 214 is 2.

1. What is the GCD of 864, 888, 230, 214?

GCD of given numbers 864, 888, 230, 214 is 2

2. How to calculate the greatest common divisor of 864, 888, 230, 214?

We can find the highest common divisor of 864, 888, 230, 214 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 864, 888, 230, 214 i.e 2.

3. How can I use the GCD of 864, 888, 230, 214Calculator?

Out the numbers 864, 888, 230, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.