GCD of 230, 388, 86, 768 Calculator

Given Input numbers are 230, 388, 86, 768

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

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

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

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Greatest Common Divisior

We found the divisors of 230, 388, 86, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 388, 86, 768 is 2.

Therefore, GCD of numbers 230, 388, 86, 768 is 2

Given Input Data is 230, 388, 86, 768

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

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 86 is 2 x 43

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(230, 388) = 44620

GCD(230, 388) = ( 230 x 388 ) / 44620

GCD(230, 388) = 89240 / 44620

GCD(230, 388) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 86

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

LCM(2, 86) = 86

GCD(2, 86) = ( 2 x 86 ) / 86

GCD(2, 86) = 172 / 86

GCD(2, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 768

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

LCM(2, 768) = 768

GCD(2, 768) = ( 2 x 768 ) / 768

GCD(2, 768) = 1536 / 768

GCD(2, 768) = 2

GCD of 230, 388, 86, 768 is 2

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• GCD of 864, 705, 36, 758
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1. What is the GCD of 230, 388, 86, 768?

GCD of 230, 388, 86, 768 is 2

2. Where do I get the detailed procedure to find GCD of 230, 388, 86, 768?

You can find a detailed procedure to find GCD of 230, 388, 86, 768 on our page.

3. How to find GCD of 230, 388, 86, 768 on a calculator?

You can find the GCD of 230, 388, 86, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.