GCD of 796, 112, 589, 457 Calculator

Given Input numbers are 796, 112, 589, 457

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

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 589

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

1, 19, 31, 589

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Greatest Common Divisior

We found the divisors of 796, 112, 589, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 796, 112, 589, 457 is 1.

Therefore, GCD of numbers 796, 112, 589, 457 is 1

Given Input Data is 796, 112, 589, 457

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

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 589 is 19 x 31

Prime Factorization of 457 is 457

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(796, 112) = 22288

GCD(796, 112) = ( 796 x 112 ) / 22288

GCD(796, 112) = 89152 / 22288

GCD(796, 112) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 589

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

LCM(4, 589) = 2356

GCD(4, 589) = ( 4 x 589 ) / 2356

GCD(4, 589) = 2356 / 2356

GCD(4, 589) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 457

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

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

GCD(1, 457) = 457 / 457

GCD(1, 457) = 1

GCD of 796, 112, 589, 457 is 1

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• GCD of 367, 409, 534, 483
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1. What is the GCD of 796, 112, 589, 457?

GCD of 796, 112, 589, 457 is 1

2. Where do I get the detailed procedure to find GCD of 796, 112, 589, 457?

You can find a detailed procedure to find GCD of 796, 112, 589, 457 on our page.

3. How to find GCD of 796, 112, 589, 457 on a calculator?

You can find the GCD of 796, 112, 589, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.