GCD of 272, 798, 30, 999 Calculator

Given Input numbers are 272, 798, 30, 999

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

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Greatest Common Divisior

We found the divisors of 272, 798, 30, 999 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 798, 30, 999 is 1.

Therefore, GCD of numbers 272, 798, 30, 999 is 1

Given Input Data is 272, 798, 30, 999

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

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 999 is 3 x 3 x 3 x 37

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(272, 798) = 108528

GCD(272, 798) = ( 272 x 798 ) / 108528

GCD(272, 798) = 217056 / 108528

GCD(272, 798) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 30

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

LCM(2, 30) = 30

GCD(2, 30) = ( 2 x 30 ) / 30

GCD(2, 30) = 60 / 30

GCD(2, 30) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 999

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

LCM(2, 999) = 1998

GCD(2, 999) = ( 2 x 999 ) / 1998

GCD(2, 999) = 1998 / 1998

GCD(2, 999) = 1

GCD of 272, 798, 30, 999 is 1

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• GCD of 362, 139, 38, 380
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1. What is the GCD of 272, 798, 30, 999?

GCD of 272, 798, 30, 999 is 1

2. Where do I get the detailed procedure to find GCD of 272, 798, 30, 999?

You can find a detailed procedure to find GCD of 272, 798, 30, 999 on our page.

3. How to find GCD of 272, 798, 30, 999 on a calculator?

You can find the GCD of 272, 798, 30, 999 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.