GCD of 115, 305, 864 Calculator

Given Input numbers are 115, 305, 864

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

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

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

Greatest Common Divisior

We found the divisors of 115, 305, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 115, 305, 864 is 1.

Therefore, GCD of numbers 115, 305, 864 is 1

Given Input Data is 115, 305, 864

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

Prime Factorization of 115 is 5 x 23

Prime Factorization of 305 is 5 x 61

Prime Factorization of 864 is 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

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(115, 305) = 7015

GCD(115, 305) = ( 115 x 305 ) / 7015

GCD(115, 305) = 35075 / 7015

GCD(115, 305) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 864

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

LCM(5, 864) = 4320

GCD(5, 864) = ( 5 x 864 ) / 4320

GCD(5, 864) = 4320 / 4320

GCD(5, 864) = 1

GCD of 115, 305, 864 is 1

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1. What is the GCD of 115, 305, 864?

GCD of 115, 305, 864 is 1

2. Where do I get the detailed procedure to find GCD of 115, 305, 864?

You can find a detailed procedure to find GCD of 115, 305, 864 on our page.

3. How to find GCD of 115, 305, 864 on a calculator?

You can find the GCD of 115, 305, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.