GCD of 238, 459, 864, 232 Calculator

Given Input numbers are 238, 459, 864, 232

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

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 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Greatest Common Divisior

We found the divisors of 238, 459, 864, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 459, 864, 232 is 1.

Therefore, GCD of numbers 238, 459, 864, 232 is 1

Given Input Data is 238, 459, 864, 232

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 232 is 2 x 2 x 2 x 29

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(238, 459) = 6426

GCD(238, 459) = ( 238 x 459 ) / 6426

GCD(238, 459) = 109242 / 6426

GCD(238, 459) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 864

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

LCM(17, 864) = 14688

GCD(17, 864) = ( 17 x 864 ) / 14688

GCD(17, 864) = 14688 / 14688

GCD(17, 864) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 232

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

LCM(1, 232) = 232

GCD(1, 232) = ( 1 x 232 ) / 232

GCD(1, 232) = 232 / 232

GCD(1, 232) = 1

GCD of 238, 459, 864, 232 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 497, 682, 973, 693
• GCD of 808, 782, 259, 521
• GCD of 601, 873, 363, 301
• GCD of 411, 996, 760, 316
• GCD of 985, 870, 851, 758

1. What is the GCD of 238, 459, 864, 232?

GCD of 238, 459, 864, 232 is 1

2. Where do I get the detailed procedure to find GCD of 238, 459, 864, 232?

You can find a detailed procedure to find GCD of 238, 459, 864, 232 on our page.

3. How to find GCD of 238, 459, 864, 232 on a calculator?

You can find the GCD of 238, 459, 864, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.