GCD of 998, 867, 78, 259 Calculator

Given Input numbers are 998, 867, 78, 259

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

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

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 998, 867, 78, 259 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 867, 78, 259 is 1.

Therefore, GCD of numbers 998, 867, 78, 259 is 1

Given Input Data is 998, 867, 78, 259

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 78 is 2 x 3 x 13

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(998, 867) = 865266

GCD(998, 867) = ( 998 x 867 ) / 865266

GCD(998, 867) = 865266 / 865266

GCD(998, 867) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 259

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

LCM(1, 259) = 259

GCD(1, 259) = ( 1 x 259 ) / 259

GCD(1, 259) = 259 / 259

GCD(1, 259) = 1

GCD of 998, 867, 78, 259 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 913, 799, 70, 638
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1. What is the GCD of 998, 867, 78, 259?

GCD of 998, 867, 78, 259 is 1

2. Where do I get the detailed procedure to find GCD of 998, 867, 78, 259?

You can find a detailed procedure to find GCD of 998, 867, 78, 259 on our page.

3. How to find GCD of 998, 867, 78, 259 on a calculator?

You can find the GCD of 998, 867, 78, 259 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.