GCD of 27, 630, 993, 182 Calculator

Given Input numbers are 27, 630, 993, 182

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

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 993

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

1, 3, 331, 993

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Greatest Common Divisior

We found the divisors of 27, 630, 993, 182 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 630, 993, 182 is 1.

Therefore, GCD of numbers 27, 630, 993, 182 is 1

Given Input Data is 27, 630, 993, 182

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

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 993 is 3 x 331

Prime Factorization of 182 is 2 x 7 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(27, 630) = 1890

GCD(27, 630) = ( 27 x 630 ) / 1890

GCD(27, 630) = 17010 / 1890

GCD(27, 630) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 993

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

LCM(9, 993) = 2979

GCD(9, 993) = ( 9 x 993 ) / 2979

GCD(9, 993) = 8937 / 2979

GCD(9, 993) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 182

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

LCM(3, 182) = 546

GCD(3, 182) = ( 3 x 182 ) / 546

GCD(3, 182) = 546 / 546

GCD(3, 182) = 1

GCD of 27, 630, 993, 182 is 1

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1. What is the GCD of 27, 630, 993, 182?

GCD of 27, 630, 993, 182 is 1

2. Where do I get the detailed procedure to find GCD of 27, 630, 993, 182?

You can find a detailed procedure to find GCD of 27, 630, 993, 182 on our page.

3. How to find GCD of 27, 630, 993, 182 on a calculator?

You can find the GCD of 27, 630, 993, 182 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.