GCD of 998, 259, 93, 585 Calculator

Given Input numbers are 998, 259, 93, 585

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 259

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

1, 7, 37, 259

Divisors of 93

List of positive integer divisors of 93 that divides 93 without a remainder.

1, 3, 31, 93

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Greatest Common Divisior

We found the divisors of 998, 259, 93, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 259, 93, 585 is 1.

Therefore, GCD of numbers 998, 259, 93, 585 is 1

Given Input Data is 998, 259, 93, 585

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 259 is 7 x 37

Prime Factorization of 93 is 3 x 31

Prime Factorization of 585 is 3 x 3 x 5 x 13

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, 259) = 258482

GCD(998, 259) = ( 998 x 259 ) / 258482

GCD(998, 259) = 258482 / 258482

GCD(998, 259) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 93

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

LCM(1, 93) = 93

GCD(1, 93) = ( 1 x 93 ) / 93

GCD(1, 93) = 93 / 93

GCD(1, 93) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 585

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

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

GCD(1, 585) = 585 / 585

GCD(1, 585) = 1

GCD of 998, 259, 93, 585 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 630, 920, 88, 761
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• GCD of 341, 697, 42, 127
• GCD of 177, 798, 41, 295
• GCD of 847, 211, 38, 947

1. What is the GCD of 998, 259, 93, 585?

GCD of 998, 259, 93, 585 is 1

2. Where do I get the detailed procedure to find GCD of 998, 259, 93, 585?

You can find a detailed procedure to find GCD of 998, 259, 93, 585 on our page.

3. How to find GCD of 998, 259, 93, 585 on a calculator?

You can find the GCD of 998, 259, 93, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.