GCD of 538, 314, 469, 339 Calculator

Given Input numbers are 538, 314, 469, 339

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

Divisors of 538

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

1, 2, 269, 538

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Greatest Common Divisior

We found the divisors of 538, 314, 469, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 314, 469, 339 is 1.

Therefore, GCD of numbers 538, 314, 469, 339 is 1

Given Input Data is 538, 314, 469, 339

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 314 is 2 x 157

Prime Factorization of 469 is 7 x 67

Prime Factorization of 339 is 3 x 113

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(538, 314) = 84466

GCD(538, 314) = ( 538 x 314 ) / 84466

GCD(538, 314) = 168932 / 84466

GCD(538, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 469

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

LCM(2, 469) = 938

GCD(2, 469) = ( 2 x 469 ) / 938

GCD(2, 469) = 938 / 938

GCD(2, 469) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 339

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

LCM(1, 339) = 339

GCD(1, 339) = ( 1 x 339 ) / 339

GCD(1, 339) = 339 / 339

GCD(1, 339) = 1

GCD of 538, 314, 469, 339 is 1

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1. What is the GCD of 538, 314, 469, 339?

GCD of 538, 314, 469, 339 is 1

2. Where do I get the detailed procedure to find GCD of 538, 314, 469, 339?

You can find a detailed procedure to find GCD of 538, 314, 469, 339 on our page.

3. How to find GCD of 538, 314, 469, 339 on a calculator?

You can find the GCD of 538, 314, 469, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.