GCD of 798, 225, 259 Calculator

Given Input numbers are 798, 225, 259

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

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 259

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

1, 7, 37, 259

Greatest Common Divisior

We found the divisors of 798, 225, 259 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 225, 259 is 1.

Therefore, GCD of numbers 798, 225, 259 is 1

Given Input Data is 798, 225, 259

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

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 259 is 7 x 37

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(798, 225) = 59850

GCD(798, 225) = ( 798 x 225 ) / 59850

GCD(798, 225) = 179550 / 59850

GCD(798, 225) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 259

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

LCM(3, 259) = 777

GCD(3, 259) = ( 3 x 259 ) / 777

GCD(3, 259) = 777 / 777

GCD(3, 259) = 1

GCD of 798, 225, 259 is 1

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1. What is the GCD of 798, 225, 259?

GCD of 798, 225, 259 is 1

2. Where do I get the detailed procedure to find GCD of 798, 225, 259?

You can find a detailed procedure to find GCD of 798, 225, 259 on our page.

3. How to find GCD of 798, 225, 259 on a calculator?

You can find the GCD of 798, 225, 259 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.