GCD of 259, 234, 384, 849 Calculator

Given Input numbers are 259, 234, 384, 849

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

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

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

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 259, 234, 384, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 234, 384, 849 is 1.

Therefore, GCD of numbers 259, 234, 384, 849 is 1

Given Input Data is 259, 234, 384, 849

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

Prime Factorization of 259 is 7 x 37

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 849 is 3 x 283

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(259, 234) = 60606

GCD(259, 234) = ( 259 x 234 ) / 60606

GCD(259, 234) = 60606 / 60606

GCD(259, 234) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 384

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

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

GCD(1, 384) = 384 / 384

GCD(1, 384) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 849

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

LCM(1, 849) = 849

GCD(1, 849) = ( 1 x 849 ) / 849

GCD(1, 849) = 849 / 849

GCD(1, 849) = 1

GCD of 259, 234, 384, 849 is 1

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1. What is the GCD of 259, 234, 384, 849?

GCD of 259, 234, 384, 849 is 1

2. Where do I get the detailed procedure to find GCD of 259, 234, 384, 849?

You can find a detailed procedure to find GCD of 259, 234, 384, 849 on our page.

3. How to find GCD of 259, 234, 384, 849 on a calculator?

You can find the GCD of 259, 234, 384, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.