GCD of 993, 285, 208 Calculator

Given Input numbers are 993, 285, 208

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 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Greatest Common Divisior

We found the divisors of 993, 285, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 285, 208 is 1.

Therefore, GCD of numbers 993, 285, 208 is 1

Given Input Data is 993, 285, 208

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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, 285) = 94335

GCD(993, 285) = ( 993 x 285 ) / 94335

GCD(993, 285) = 283005 / 94335

GCD(993, 285) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 208

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

LCM(3, 208) = 624

GCD(3, 208) = ( 3 x 208 ) / 624

GCD(3, 208) = 624 / 624

GCD(3, 208) = 1

GCD of 993, 285, 208 is 1

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1. What is the GCD of 993, 285, 208?

GCD of 993, 285, 208 is 1

2. Where do I get the detailed procedure to find GCD of 993, 285, 208?

You can find a detailed procedure to find GCD of 993, 285, 208 on our page.

3. How to find GCD of 993, 285, 208 on a calculator?

You can find the GCD of 993, 285, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.