GCD of 993, 204, 980, 293 Calculator

Given Input numbers are 993, 204, 980, 293

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 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 293

List of positive integer divisors of 293 that divides 293 without a remainder.

1, 293

Greatest Common Divisior

We found the divisors of 993, 204, 980, 293 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 204, 980, 293 is 1.

Therefore, GCD of numbers 993, 204, 980, 293 is 1

Given Input Data is 993, 204, 980, 293

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 293 is 293

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, 204) = 67524

GCD(993, 204) = ( 993 x 204 ) / 67524

GCD(993, 204) = 202572 / 67524

GCD(993, 204) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 980

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

LCM(3, 980) = 2940

GCD(3, 980) = ( 3 x 980 ) / 2940

GCD(3, 980) = 2940 / 2940

GCD(3, 980) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 293

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

LCM(1, 293) = 293

GCD(1, 293) = ( 1 x 293 ) / 293

GCD(1, 293) = 293 / 293

GCD(1, 293) = 1

GCD of 993, 204, 980, 293 is 1

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1. What is the GCD of 993, 204, 980, 293?

GCD of 993, 204, 980, 293 is 1

2. Where do I get the detailed procedure to find GCD of 993, 204, 980, 293?

You can find a detailed procedure to find GCD of 993, 204, 980, 293 on our page.

3. How to find GCD of 993, 204, 980, 293 on a calculator?

You can find the GCD of 993, 204, 980, 293 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.