GCD of 272, 996, 81, 291 Calculator

Given Input numbers are 272, 996, 81, 291

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 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Greatest Common Divisior

We found the divisors of 272, 996, 81, 291 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 996, 81, 291 is 1.

Therefore, GCD of numbers 272, 996, 81, 291 is 1

Given Input Data is 272, 996, 81, 291

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 996 is 2 x 2 x 3 x 83

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 291 is 3 x 97

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, 996) = 67728

GCD(272, 996) = ( 272 x 996 ) / 67728

GCD(272, 996) = 270912 / 67728

GCD(272, 996) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 81

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

LCM(4, 81) = 324

GCD(4, 81) = ( 4 x 81 ) / 324

GCD(4, 81) = 324 / 324

GCD(4, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 291

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

LCM(1, 291) = 291

GCD(1, 291) = ( 1 x 291 ) / 291

GCD(1, 291) = 291 / 291

GCD(1, 291) = 1

GCD of 272, 996, 81, 291 is 1

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• GCD of 569, 103, 61, 242
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1. What is the GCD of 272, 996, 81, 291?

GCD of 272, 996, 81, 291 is 1

2. Where do I get the detailed procedure to find GCD of 272, 996, 81, 291?

You can find a detailed procedure to find GCD of 272, 996, 81, 291 on our page.

3. How to find GCD of 272, 996, 81, 291 on a calculator?

You can find the GCD of 272, 996, 81, 291 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.