GCD of 286, 589, 25, 716 Calculator

Given Input numbers are 286, 589, 25, 716

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

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 589

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

1, 19, 31, 589

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Greatest Common Divisior

We found the divisors of 286, 589, 25, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 286, 589, 25, 716 is 1.

Therefore, GCD of numbers 286, 589, 25, 716 is 1

Given Input Data is 286, 589, 25, 716

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

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 589 is 19 x 31

Prime Factorization of 25 is 5 x 5

Prime Factorization of 716 is 2 x 2 x 179

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(286, 589) = 168454

GCD(286, 589) = ( 286 x 589 ) / 168454

GCD(286, 589) = 168454 / 168454

GCD(286, 589) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 716

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

LCM(1, 716) = 716

GCD(1, 716) = ( 1 x 716 ) / 716

GCD(1, 716) = 716 / 716

GCD(1, 716) = 1

GCD of 286, 589, 25, 716 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 257, 325, 13, 505
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• GCD of 970, 268, 12, 876

1. What is the GCD of 286, 589, 25, 716?

GCD of 286, 589, 25, 716 is 1

2. Where do I get the detailed procedure to find GCD of 286, 589, 25, 716?

You can find a detailed procedure to find GCD of 286, 589, 25, 716 on our page.

3. How to find GCD of 286, 589, 25, 716 on a calculator?

You can find the GCD of 286, 589, 25, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.