GCD of 998, 108, 23, 537 Calculator

Given Input numbers are 998, 108, 23, 537

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 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Greatest Common Divisior

We found the divisors of 998, 108, 23, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 108, 23, 537 is 1.

Therefore, GCD of numbers 998, 108, 23, 537 is 1

Given Input Data is 998, 108, 23, 537

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 23 is 23

Prime Factorization of 537 is 3 x 179

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, 108) = 53892

GCD(998, 108) = ( 998 x 108 ) / 53892

GCD(998, 108) = 107784 / 53892

GCD(998, 108) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 23

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

LCM(2, 23) = 46

GCD(2, 23) = ( 2 x 23 ) / 46

GCD(2, 23) = 46 / 46

GCD(2, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 537

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

LCM(1, 537) = 537

GCD(1, 537) = ( 1 x 537 ) / 537

GCD(1, 537) = 537 / 537

GCD(1, 537) = 1

GCD of 998, 108, 23, 537 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 159, 169, 71, 697
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• GCD of 632, 106, 37, 644

1. What is the GCD of 998, 108, 23, 537?

GCD of 998, 108, 23, 537 is 1

2. Where do I get the detailed procedure to find GCD of 998, 108, 23, 537?

You can find a detailed procedure to find GCD of 998, 108, 23, 537 on our page.

3. How to find GCD of 998, 108, 23, 537 on a calculator?

You can find the GCD of 998, 108, 23, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.