GCD of 34, 508, 306, 383 Calculator

Given Input numbers are 34, 508, 306, 383

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Greatest Common Divisior

We found the divisors of 34, 508, 306, 383 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 508, 306, 383 is 1.

Therefore, GCD of numbers 34, 508, 306, 383 is 1

Given Input Data is 34, 508, 306, 383

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 383 is 383

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(34, 508) = 8636

GCD(34, 508) = ( 34 x 508 ) / 8636

GCD(34, 508) = 17272 / 8636

GCD(34, 508) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 306

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

LCM(2, 306) = 306

GCD(2, 306) = ( 2 x 306 ) / 306

GCD(2, 306) = 612 / 306

GCD(2, 306) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 383

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

LCM(2, 383) = 766

GCD(2, 383) = ( 2 x 383 ) / 766

GCD(2, 383) = 766 / 766

GCD(2, 383) = 1

GCD of 34, 508, 306, 383 is 1

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• GCD of 87, 244, 960, 367
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• GCD of 43, 358, 683, 317

1. What is the GCD of 34, 508, 306, 383?

GCD of 34, 508, 306, 383 is 1

2. Where do I get the detailed procedure to find GCD of 34, 508, 306, 383?

You can find a detailed procedure to find GCD of 34, 508, 306, 383 on our page.

3. How to find GCD of 34, 508, 306, 383 on a calculator?

You can find the GCD of 34, 508, 306, 383 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.