GCD of 32, 259, 828, 844 Calculator

Given Input numbers are 32, 259, 828, 844

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

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 259

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

1, 7, 37, 259

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Greatest Common Divisior

We found the divisors of 32, 259, 828, 844 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 259, 828, 844 is 1.

Therefore, GCD of numbers 32, 259, 828, 844 is 1

Given Input Data is 32, 259, 828, 844

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

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 259 is 7 x 37

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 844 is 2 x 2 x 211

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(32, 259) = 8288

GCD(32, 259) = ( 32 x 259 ) / 8288

GCD(32, 259) = 8288 / 8288

GCD(32, 259) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 844

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

LCM(1, 844) = 844

GCD(1, 844) = ( 1 x 844 ) / 844

GCD(1, 844) = 844 / 844

GCD(1, 844) = 1

GCD of 32, 259, 828, 844 is 1

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1. What is the GCD of 32, 259, 828, 844?

GCD of 32, 259, 828, 844 is 1

2. Where do I get the detailed procedure to find GCD of 32, 259, 828, 844?

You can find a detailed procedure to find GCD of 32, 259, 828, 844 on our page.

3. How to find GCD of 32, 259, 828, 844 on a calculator?

You can find the GCD of 32, 259, 828, 844 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.