GCD of 42, 309, 910, 396 Calculator

Given Input numbers are 42, 309, 910, 396

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 309

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

1, 3, 103, 309

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Greatest Common Divisior

We found the divisors of 42, 309, 910, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 309, 910, 396 is 1.

Therefore, GCD of numbers 42, 309, 910, 396 is 1

Given Input Data is 42, 309, 910, 396

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 309 is 3 x 103

Prime Factorization of 910 is 2 x 5 x 7 x 13

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

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(42, 309) = 4326

GCD(42, 309) = ( 42 x 309 ) / 4326

GCD(42, 309) = 12978 / 4326

GCD(42, 309) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 910

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

LCM(3, 910) = 2730

GCD(3, 910) = ( 3 x 910 ) / 2730

GCD(3, 910) = 2730 / 2730

GCD(3, 910) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 396

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

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

GCD(1, 396) = 396 / 396

GCD(1, 396) = 1

GCD of 42, 309, 910, 396 is 1

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• GCD of 12, 491, 812, 800
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• GCD of 65, 728, 616, 836

1. What is the GCD of 42, 309, 910, 396?

GCD of 42, 309, 910, 396 is 1

2. Where do I get the detailed procedure to find GCD of 42, 309, 910, 396?

You can find a detailed procedure to find GCD of 42, 309, 910, 396 on our page.

3. How to find GCD of 42, 309, 910, 396 on a calculator?

You can find the GCD of 42, 309, 910, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.