GCD of 272, 843, 23, 382 Calculator

Given Input numbers are 272, 843, 23, 382

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 843

List of positive integer divisors of 843 that divides 843 without a remainder.

1, 3, 281, 843

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Greatest Common Divisior

We found the divisors of 272, 843, 23, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 843, 23, 382 is 1.

Therefore, GCD of numbers 272, 843, 23, 382 is 1

Given Input Data is 272, 843, 23, 382

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 843 is 3 x 281

Prime Factorization of 23 is 23

Prime Factorization of 382 is 2 x 191

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, 843) = 229296

GCD(272, 843) = ( 272 x 843 ) / 229296

GCD(272, 843) = 229296 / 229296

GCD(272, 843) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 382

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

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

GCD(1, 382) = 382 / 382

GCD(1, 382) = 1

GCD of 272, 843, 23, 382 is 1

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1. What is the GCD of 272, 843, 23, 382?

GCD of 272, 843, 23, 382 is 1

2. Where do I get the detailed procedure to find GCD of 272, 843, 23, 382?

You can find a detailed procedure to find GCD of 272, 843, 23, 382 on our page.

3. How to find GCD of 272, 843, 23, 382 on a calculator?

You can find the GCD of 272, 843, 23, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.