GCD of 814, 424, 11, 339 Calculator

Given Input numbers are 814, 424, 11, 339

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

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 814, 424, 11, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 424, 11, 339 is 1.

Therefore, GCD of numbers 814, 424, 11, 339 is 1

Given Input Data is 814, 424, 11, 339

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 11 is 11

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(814, 424) = 172568

GCD(814, 424) = ( 814 x 424 ) / 172568

GCD(814, 424) = 345136 / 172568

GCD(814, 424) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 11

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

LCM(2, 11) = 22

GCD(2, 11) = ( 2 x 11 ) / 22

GCD(2, 11) = 22 / 22

GCD(2, 11) = 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 814, 424, 11, 339 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 142, 177, 18, 341
• GCD of 694, 898, 66, 443
• GCD of 383, 931, 29, 871
• GCD of 384, 871, 60, 712
• GCD of 592, 255, 65, 367

1. What is the GCD of 814, 424, 11, 339?

GCD of 814, 424, 11, 339 is 1

2. Where do I get the detailed procedure to find GCD of 814, 424, 11, 339?

You can find a detailed procedure to find GCD of 814, 424, 11, 339 on our page.

3. How to find GCD of 814, 424, 11, 339 on a calculator?

You can find the GCD of 814, 424, 11, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.