GCD of 984, 981, 23, 501 Calculator

Given Input numbers are 984, 981, 23, 501

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

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 981

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

1, 3, 9, 109, 327, 981

Divisors of 23

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

1, 23

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Greatest Common Divisior

We found the divisors of 984, 981, 23, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 981, 23, 501 is 1.

Therefore, GCD of numbers 984, 981, 23, 501 is 1

Given Input Data is 984, 981, 23, 501

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 23 is 23

Prime Factorization of 501 is 3 x 167

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(984, 981) = 321768

GCD(984, 981) = ( 984 x 981 ) / 321768

GCD(984, 981) = 965304 / 321768

GCD(984, 981) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 23

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

LCM(3, 23) = 69

GCD(3, 23) = ( 3 x 23 ) / 69

GCD(3, 23) = 69 / 69

GCD(3, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 501

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

LCM(1, 501) = 501

GCD(1, 501) = ( 1 x 501 ) / 501

GCD(1, 501) = 501 / 501

GCD(1, 501) = 1

GCD of 984, 981, 23, 501 is 1

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1. What is the GCD of 984, 981, 23, 501?

GCD of 984, 981, 23, 501 is 1

2. Where do I get the detailed procedure to find GCD of 984, 981, 23, 501?

You can find a detailed procedure to find GCD of 984, 981, 23, 501 on our page.

3. How to find GCD of 984, 981, 23, 501 on a calculator?

You can find the GCD of 984, 981, 23, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.