GCD of 961, 589, 917 Calculator

Given Input numbers are 961, 589, 917

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

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 589

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

1, 19, 31, 589

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Greatest Common Divisior

We found the divisors of 961, 589, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 589, 917 is 1.

Therefore, GCD of numbers 961, 589, 917 is 1

Given Input Data is 961, 589, 917

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

Prime Factorization of 961 is 31 x 31

Prime Factorization of 589 is 19 x 31

Prime Factorization of 917 is 7 x 131

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(961, 589) = 18259

GCD(961, 589) = ( 961 x 589 ) / 18259

GCD(961, 589) = 566029 / 18259

GCD(961, 589) = 31

Step2:

Here we consider the GCD from the above i.e. 31 as first number and the next as 917

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

LCM(31, 917) = 28427

GCD(31, 917) = ( 31 x 917 ) / 28427

GCD(31, 917) = 28427 / 28427

GCD(31, 917) = 1

GCD of 961, 589, 917 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 464, 845, 332
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1. What is the GCD of 961, 589, 917?

GCD of 961, 589, 917 is 1

2. Where do I get the detailed procedure to find GCD of 961, 589, 917?

You can find a detailed procedure to find GCD of 961, 589, 917 on our page.

3. How to find GCD of 961, 589, 917 on a calculator?

You can find the GCD of 961, 589, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.