GCD of 397, 294, 566, 508 Calculator

Given Input numbers are 397, 294, 566, 508

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

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 397, 294, 566, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 397, 294, 566, 508 is 1.

Therefore, GCD of numbers 397, 294, 566, 508 is 1

Given Input Data is 397, 294, 566, 508

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

Prime Factorization of 397 is 397

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 566 is 2 x 283

Prime Factorization of 508 is 2 x 2 x 127

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(397, 294) = 116718

GCD(397, 294) = ( 397 x 294 ) / 116718

GCD(397, 294) = 116718 / 116718

GCD(397, 294) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 566

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

LCM(1, 566) = 566

GCD(1, 566) = ( 1 x 566 ) / 566

GCD(1, 566) = 566 / 566

GCD(1, 566) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 508

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

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

GCD(1, 508) = 508 / 508

GCD(1, 508) = 1

GCD of 397, 294, 566, 508 is 1

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1. What is the GCD of 397, 294, 566, 508?

GCD of 397, 294, 566, 508 is 1

2. Where do I get the detailed procedure to find GCD of 397, 294, 566, 508?

You can find a detailed procedure to find GCD of 397, 294, 566, 508 on our page.

3. How to find GCD of 397, 294, 566, 508 on a calculator?

You can find the GCD of 397, 294, 566, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.