GCD of 106, 338, 731, 571 Calculator

Given Input numbers are 106, 338, 731, 571

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

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 106, 338, 731, 571 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 338, 731, 571 is 1.

Therefore, GCD of numbers 106, 338, 731, 571 is 1

Given Input Data is 106, 338, 731, 571

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 731 is 17 x 43

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(106, 338) = 17914

GCD(106, 338) = ( 106 x 338 ) / 17914

GCD(106, 338) = 35828 / 17914

GCD(106, 338) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 731

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

LCM(2, 731) = 1462

GCD(2, 731) = ( 2 x 731 ) / 1462

GCD(2, 731) = 1462 / 1462

GCD(2, 731) = 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 106, 338, 731, 571 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 395, 820, 529, 721
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• GCD of 175, 669, 399, 207

1. What is the GCD of 106, 338, 731, 571?

GCD of 106, 338, 731, 571 is 1

2. Where do I get the detailed procedure to find GCD of 106, 338, 731, 571?

You can find a detailed procedure to find GCD of 106, 338, 731, 571 on our page.

3. How to find GCD of 106, 338, 731, 571 on a calculator?

You can find the GCD of 106, 338, 731, 571 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.