GCD of 24, 327, 198, 993 Calculator

Given Input numbers are 24, 327, 198, 993

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

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Greatest Common Divisior

We found the divisors of 24, 327, 198, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 327, 198, 993 is 3.

Therefore, GCD of numbers 24, 327, 198, 993 is 3

Given Input Data is 24, 327, 198, 993

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

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 327 is 3 x 109

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 993 is 3 x 331

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(24, 327) = 2616

GCD(24, 327) = ( 24 x 327 ) / 2616

GCD(24, 327) = 7848 / 2616

GCD(24, 327) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 198

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

LCM(3, 198) = 198

GCD(3, 198) = ( 3 x 198 ) / 198

GCD(3, 198) = 594 / 198

GCD(3, 198) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 993

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

LCM(3, 993) = 993

GCD(3, 993) = ( 3 x 993 ) / 993

GCD(3, 993) = 2979 / 993

GCD(3, 993) = 3

GCD of 24, 327, 198, 993 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 24, 456, 277, 904
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• GCD of 17, 443, 546, 778

1. What is the GCD of 24, 327, 198, 993?

GCD of 24, 327, 198, 993 is 3

2. Where do I get the detailed procedure to find GCD of 24, 327, 198, 993?

You can find a detailed procedure to find GCD of 24, 327, 198, 993 on our page.

3. How to find GCD of 24, 327, 198, 993 on a calculator?

You can find the GCD of 24, 327, 198, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.