GCD of 312, 192, 890, 589 Calculator

Given Input numbers are 312, 192, 890, 589

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 589

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

1, 19, 31, 589

Greatest Common Divisior

We found the divisors of 312, 192, 890, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 192, 890, 589 is 1.

Therefore, GCD of numbers 312, 192, 890, 589 is 1

Given Input Data is 312, 192, 890, 589

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 589 is 19 x 31

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(312, 192) = 2496

GCD(312, 192) = ( 312 x 192 ) / 2496

GCD(312, 192) = 59904 / 2496

GCD(312, 192) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 890

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

LCM(24, 890) = 10680

GCD(24, 890) = ( 24 x 890 ) / 10680

GCD(24, 890) = 21360 / 10680

GCD(24, 890) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 589

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

LCM(2, 589) = 1178

GCD(2, 589) = ( 2 x 589 ) / 1178

GCD(2, 589) = 1178 / 1178

GCD(2, 589) = 1

GCD of 312, 192, 890, 589 is 1

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1. What is the GCD of 312, 192, 890, 589?

GCD of 312, 192, 890, 589 is 1

2. Where do I get the detailed procedure to find GCD of 312, 192, 890, 589?

You can find a detailed procedure to find GCD of 312, 192, 890, 589 on our page.

3. How to find GCD of 312, 192, 890, 589 on a calculator?

You can find the GCD of 312, 192, 890, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.