GCD of 993, 300, 988, 983 Calculator

Given Input numbers are 993, 300, 988, 983

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

Divisors of 993

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

1, 3, 331, 993

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Greatest Common Divisior

We found the divisors of 993, 300, 988, 983 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 300, 988, 983 is 1.

Therefore, GCD of numbers 993, 300, 988, 983 is 1

Given Input Data is 993, 300, 988, 983

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 983 is 983

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(993, 300) = 99300

GCD(993, 300) = ( 993 x 300 ) / 99300

GCD(993, 300) = 297900 / 99300

GCD(993, 300) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 988

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

LCM(3, 988) = 2964

GCD(3, 988) = ( 3 x 988 ) / 2964

GCD(3, 988) = 2964 / 2964

GCD(3, 988) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 983

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

LCM(1, 983) = 983

GCD(1, 983) = ( 1 x 983 ) / 983

GCD(1, 983) = 983 / 983

GCD(1, 983) = 1

GCD of 993, 300, 988, 983 is 1

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1. What is the GCD of 993, 300, 988, 983?

GCD of 993, 300, 988, 983 is 1

2. Where do I get the detailed procedure to find GCD of 993, 300, 988, 983?

You can find a detailed procedure to find GCD of 993, 300, 988, 983 on our page.

3. How to find GCD of 993, 300, 988, 983 on a calculator?

You can find the GCD of 993, 300, 988, 983 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.