GCD of 998, 521, 226, 493 Calculator

Given Input numbers are 998, 521, 226, 493

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 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Greatest Common Divisior

We found the divisors of 998, 521, 226, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 521, 226, 493 is 1.

Therefore, GCD of numbers 998, 521, 226, 493 is 1

Given Input Data is 998, 521, 226, 493

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 521 is 521

Prime Factorization of 226 is 2 x 113

Prime Factorization of 493 is 17 x 29

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, 521) = 519958

GCD(998, 521) = ( 998 x 521 ) / 519958

GCD(998, 521) = 519958 / 519958

GCD(998, 521) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 226

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

LCM(1, 226) = 226

GCD(1, 226) = ( 1 x 226 ) / 226

GCD(1, 226) = 226 / 226

GCD(1, 226) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 493

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

LCM(1, 493) = 493

GCD(1, 493) = ( 1 x 493 ) / 493

GCD(1, 493) = 493 / 493

GCD(1, 493) = 1

GCD of 998, 521, 226, 493 is 1

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1. What is the GCD of 998, 521, 226, 493?

GCD of 998, 521, 226, 493 is 1

2. Where do I get the detailed procedure to find GCD of 998, 521, 226, 493?

You can find a detailed procedure to find GCD of 998, 521, 226, 493 on our page.

3. How to find GCD of 998, 521, 226, 493 on a calculator?

You can find the GCD of 998, 521, 226, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.