GCD of 257, 581, 371, 321 Calculator

Given Input numbers are 257, 581, 371, 321

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 581

List of positive integer divisors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Greatest Common Divisior

We found the divisors of 257, 581, 371, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 257, 581, 371, 321 is 1.

Therefore, GCD of numbers 257, 581, 371, 321 is 1

Given Input Data is 257, 581, 371, 321

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

Prime Factorization of 257 is 257

Prime Factorization of 581 is 7 x 83

Prime Factorization of 371 is 7 x 53

Prime Factorization of 321 is 3 x 107

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, 581) = 149317

GCD(257, 581) = ( 257 x 581 ) / 149317

GCD(257, 581) = 149317 / 149317

GCD(257, 581) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 371

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

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

GCD(1, 371) = 371 / 371

GCD(1, 371) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 321

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

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

GCD(1, 321) = 321 / 321

GCD(1, 321) = 1

GCD of 257, 581, 371, 321 is 1

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1. What is the GCD of 257, 581, 371, 321?

GCD of 257, 581, 371, 321 is 1

2. Where do I get the detailed procedure to find GCD of 257, 581, 371, 321?

You can find a detailed procedure to find GCD of 257, 581, 371, 321 on our page.

3. How to find GCD of 257, 581, 371, 321 on a calculator?

You can find the GCD of 257, 581, 371, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.