GCD of 338, 539, 706, 515 Calculator

Given Input numbers are 338, 539, 706, 515

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

Divisors of 338

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

1, 2, 13, 26, 169, 338

Divisors of 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Greatest Common Divisior

We found the divisors of 338, 539, 706, 515 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 539, 706, 515 is 1.

Therefore, GCD of numbers 338, 539, 706, 515 is 1

Given Input Data is 338, 539, 706, 515

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

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 539 is 7 x 7 x 11

Prime Factorization of 706 is 2 x 353

Prime Factorization of 515 is 5 x 103

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(338, 539) = 182182

GCD(338, 539) = ( 338 x 539 ) / 182182

GCD(338, 539) = 182182 / 182182

GCD(338, 539) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 706

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

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

GCD(1, 706) = 706 / 706

GCD(1, 706) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 515

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

LCM(1, 515) = 515

GCD(1, 515) = ( 1 x 515 ) / 515

GCD(1, 515) = 515 / 515

GCD(1, 515) = 1

GCD of 338, 539, 706, 515 is 1

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1. What is the GCD of 338, 539, 706, 515?

GCD of 338, 539, 706, 515 is 1

2. Where do I get the detailed procedure to find GCD of 338, 539, 706, 515?

You can find a detailed procedure to find GCD of 338, 539, 706, 515 on our page.

3. How to find GCD of 338, 539, 706, 515 on a calculator?

You can find the GCD of 338, 539, 706, 515 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.