GCD of 423, 998, 72, 981 Calculator

Given Input numbers are 423, 998, 72, 981

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

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 998

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

1, 2, 499, 998

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Greatest Common Divisior

We found the divisors of 423, 998, 72, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 998, 72, 981 is 1.

Therefore, GCD of numbers 423, 998, 72, 981 is 1

Given Input Data is 423, 998, 72, 981

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

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 998 is 2 x 499

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 981 is 3 x 3 x 109

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(423, 998) = 422154

GCD(423, 998) = ( 423 x 998 ) / 422154

GCD(423, 998) = 422154 / 422154

GCD(423, 998) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 981

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

LCM(1, 981) = 981

GCD(1, 981) = ( 1 x 981 ) / 981

GCD(1, 981) = 981 / 981

GCD(1, 981) = 1

GCD of 423, 998, 72, 981 is 1

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1. What is the GCD of 423, 998, 72, 981?

GCD of 423, 998, 72, 981 is 1

2. Where do I get the detailed procedure to find GCD of 423, 998, 72, 981?

You can find a detailed procedure to find GCD of 423, 998, 72, 981 on our page.

3. How to find GCD of 423, 998, 72, 981 on a calculator?

You can find the GCD of 423, 998, 72, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.