GCD of 257, 583, 272 Calculator

Given Input numbers are 257, 583, 272

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

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

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

Greatest Common Divisior

We found the divisors of 257, 583, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 257, 583, 272 is 1.

Therefore, GCD of numbers 257, 583, 272 is 1

Given Input Data is 257, 583, 272

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

Prime Factorization of 257 is 257

Prime Factorization of 583 is 11 x 53

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

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(257, 583) = 149831

GCD(257, 583) = ( 257 x 583 ) / 149831

GCD(257, 583) = 149831 / 149831

GCD(257, 583) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

GCD of 257, 583, 272 is 1

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1. What is the GCD of 257, 583, 272?

GCD of 257, 583, 272 is 1

2. Where do I get the detailed procedure to find GCD of 257, 583, 272?

You can find a detailed procedure to find GCD of 257, 583, 272 on our page.

3. How to find GCD of 257, 583, 272 on a calculator?

You can find the GCD of 257, 583, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.