GCD of 589, 338, 16, 892 Calculator

Given Input numbers are 589, 338, 16, 892

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

Divisors of 589

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

1, 19, 31, 589

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Greatest Common Divisior

We found the divisors of 589, 338, 16, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 338, 16, 892 is 1.

Therefore, GCD of numbers 589, 338, 16, 892 is 1

Given Input Data is 589, 338, 16, 892

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

Prime Factorization of 589 is 19 x 31

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 892 is 2 x 2 x 223

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(589, 338) = 199082

GCD(589, 338) = ( 589 x 338 ) / 199082

GCD(589, 338) = 199082 / 199082

GCD(589, 338) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 892

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

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

GCD(1, 892) = 892 / 892

GCD(1, 892) = 1

GCD of 589, 338, 16, 892 is 1

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1. What is the GCD of 589, 338, 16, 892?

GCD of 589, 338, 16, 892 is 1

2. Where do I get the detailed procedure to find GCD of 589, 338, 16, 892?

You can find a detailed procedure to find GCD of 589, 338, 16, 892 on our page.

3. How to find GCD of 589, 338, 16, 892 on a calculator?

You can find the GCD of 589, 338, 16, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.