GCD of 864, 237, 339 Calculator

Given Input numbers are 864, 237, 339

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

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 237

List of positive integer divisors of 237 that divides 237 without a remainder.

1, 3, 79, 237

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Greatest Common Divisior

We found the divisors of 864, 237, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 237, 339 is 3.

Therefore, GCD of numbers 864, 237, 339 is 3

Given Input Data is 864, 237, 339

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

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

Prime Factorization of 237 is 3 x 79

Prime Factorization of 339 is 3 x 113

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(864, 237) = 68256

GCD(864, 237) = ( 864 x 237 ) / 68256

GCD(864, 237) = 204768 / 68256

GCD(864, 237) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 339

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

LCM(3, 339) = 339

GCD(3, 339) = ( 3 x 339 ) / 339

GCD(3, 339) = 1017 / 339

GCD(3, 339) = 3

GCD of 864, 237, 339 is 3

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1. What is the GCD of 864, 237, 339?

GCD of 864, 237, 339 is 3

2. Where do I get the detailed procedure to find GCD of 864, 237, 339?

You can find a detailed procedure to find GCD of 864, 237, 339 on our page.

3. How to find GCD of 864, 237, 339 on a calculator?

You can find the GCD of 864, 237, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.