GCD of 993, 364, 422, 282 Calculator

Given Input numbers are 993, 364, 422, 282

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 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Greatest Common Divisior

We found the divisors of 993, 364, 422, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 364, 422, 282 is 1.

Therefore, GCD of numbers 993, 364, 422, 282 is 1

Given Input Data is 993, 364, 422, 282

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 422 is 2 x 211

Prime Factorization of 282 is 2 x 3 x 47

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, 364) = 361452

GCD(993, 364) = ( 993 x 364 ) / 361452

GCD(993, 364) = 361452 / 361452

GCD(993, 364) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 422

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

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

GCD(1, 422) = 422 / 422

GCD(1, 422) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 282

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

LCM(1, 282) = 282

GCD(1, 282) = ( 1 x 282 ) / 282

GCD(1, 282) = 282 / 282

GCD(1, 282) = 1

GCD of 993, 364, 422, 282 is 1

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1. What is the GCD of 993, 364, 422, 282?

GCD of 993, 364, 422, 282 is 1

2. Where do I get the detailed procedure to find GCD of 993, 364, 422, 282?

You can find a detailed procedure to find GCD of 993, 364, 422, 282 on our page.

3. How to find GCD of 993, 364, 422, 282 on a calculator?

You can find the GCD of 993, 364, 422, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.