GCD of 304, 993, 21, 258 Calculator

Given Input numbers are 304, 993, 21, 258

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 993

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

1, 3, 331, 993

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Greatest Common Divisior

We found the divisors of 304, 993, 21, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 993, 21, 258 is 1.

Therefore, GCD of numbers 304, 993, 21, 258 is 1

Given Input Data is 304, 993, 21, 258

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 993 is 3 x 331

Prime Factorization of 21 is 3 x 7

Prime Factorization of 258 is 2 x 3 x 43

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(304, 993) = 301872

GCD(304, 993) = ( 304 x 993 ) / 301872

GCD(304, 993) = 301872 / 301872

GCD(304, 993) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 258

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

LCM(1, 258) = 258

GCD(1, 258) = ( 1 x 258 ) / 258

GCD(1, 258) = 258 / 258

GCD(1, 258) = 1

GCD of 304, 993, 21, 258 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 492, 864, 16, 687
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• GCD of 624, 526, 41, 981

1. What is the GCD of 304, 993, 21, 258?

GCD of 304, 993, 21, 258 is 1

2. Where do I get the detailed procedure to find GCD of 304, 993, 21, 258?

You can find a detailed procedure to find GCD of 304, 993, 21, 258 on our page.

3. How to find GCD of 304, 993, 21, 258 on a calculator?

You can find the GCD of 304, 993, 21, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.