GCD of 305, 568, 343, 571 Calculator

Given Input numbers are 305, 568, 343, 571

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

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 571

List of positive integer divisors of 571 that divides 571 without a remainder.

1, 571

Greatest Common Divisior

We found the divisors of 305, 568, 343, 571 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 568, 343, 571 is 1.

Therefore, GCD of numbers 305, 568, 343, 571 is 1

Given Input Data is 305, 568, 343, 571

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 568 is 2 x 2 x 2 x 71

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 571 is 571

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(305, 568) = 173240

GCD(305, 568) = ( 305 x 568 ) / 173240

GCD(305, 568) = 173240 / 173240

GCD(305, 568) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 571

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

LCM(1, 571) = 571

GCD(1, 571) = ( 1 x 571 ) / 571

GCD(1, 571) = 571 / 571

GCD(1, 571) = 1

GCD of 305, 568, 343, 571 is 1

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1. What is the GCD of 305, 568, 343, 571?

GCD of 305, 568, 343, 571 is 1

2. Where do I get the detailed procedure to find GCD of 305, 568, 343, 571?

You can find a detailed procedure to find GCD of 305, 568, 343, 571 on our page.

3. How to find GCD of 305, 568, 343, 571 on a calculator?

You can find the GCD of 305, 568, 343, 571 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.