GCD of 336, 426, 589, 829 Calculator

Given Input numbers are 336, 426, 589, 829

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

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Greatest Common Divisior

We found the divisors of 336, 426, 589, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 426, 589, 829 is 1.

Therefore, GCD of numbers 336, 426, 589, 829 is 1

Given Input Data is 336, 426, 589, 829

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

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 589 is 19 x 31

Prime Factorization of 829 is 829

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(336, 426) = 23856

GCD(336, 426) = ( 336 x 426 ) / 23856

GCD(336, 426) = 143136 / 23856

GCD(336, 426) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 589

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

LCM(6, 589) = 3534

GCD(6, 589) = ( 6 x 589 ) / 3534

GCD(6, 589) = 3534 / 3534

GCD(6, 589) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 829

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

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

GCD(1, 829) = 829 / 829

GCD(1, 829) = 1

GCD of 336, 426, 589, 829 is 1

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1. What is the GCD of 336, 426, 589, 829?

GCD of 336, 426, 589, 829 is 1

2. Where do I get the detailed procedure to find GCD of 336, 426, 589, 829?

You can find a detailed procedure to find GCD of 336, 426, 589, 829 on our page.

3. How to find GCD of 336, 426, 589, 829 on a calculator?

You can find the GCD of 336, 426, 589, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.