GCD of 668, 399, 52, 309 Calculator

Given Input numbers are 668, 399, 52, 309

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

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 668, 399, 52, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 668, 399, 52, 309 is 1.

Therefore, GCD of numbers 668, 399, 52, 309 is 1

Given Input Data is 668, 399, 52, 309

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

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 309 is 3 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(668, 399) = 266532

GCD(668, 399) = ( 668 x 399 ) / 266532

GCD(668, 399) = 266532 / 266532

GCD(668, 399) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 52

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

LCM(1, 52) = 52

GCD(1, 52) = ( 1 x 52 ) / 52

GCD(1, 52) = 52 / 52

GCD(1, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

GCD of 668, 399, 52, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 136, 748, 11, 605
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• GCD of 543, 499, 14, 696
• GCD of 479, 765, 11, 653
• GCD of 723, 448, 52, 230

1. What is the GCD of 668, 399, 52, 309?

GCD of 668, 399, 52, 309 is 1

2. Where do I get the detailed procedure to find GCD of 668, 399, 52, 309?

You can find a detailed procedure to find GCD of 668, 399, 52, 309 on our page.

3. How to find GCD of 668, 399, 52, 309 on a calculator?

You can find the GCD of 668, 399, 52, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.