GCD of 568, 322, 343, 538 Calculator

Given Input numbers are 568, 322, 343, 538

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

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 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 343

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

1, 7, 49, 343

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 568, 322, 343, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 568, 322, 343, 538 is 1.

Therefore, GCD of numbers 568, 322, 343, 538 is 1

Given Input Data is 568, 322, 343, 538

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

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

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 538 is 2 x 269

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(568, 322) = 91448

GCD(568, 322) = ( 568 x 322 ) / 91448

GCD(568, 322) = 182896 / 91448

GCD(568, 322) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 343

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

LCM(2, 343) = 686

GCD(2, 343) = ( 2 x 343 ) / 686

GCD(2, 343) = 686 / 686

GCD(2, 343) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 1

GCD of 568, 322, 343, 538 is 1

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1. What is the GCD of 568, 322, 343, 538?

GCD of 568, 322, 343, 538 is 1

2. Where do I get the detailed procedure to find GCD of 568, 322, 343, 538?

You can find a detailed procedure to find GCD of 568, 322, 343, 538 on our page.

3. How to find GCD of 568, 322, 343, 538 on a calculator?

You can find the GCD of 568, 322, 343, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.