GCD of 289, 197, 966 Calculator

Given Input numbers are 289, 197, 966

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

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 197

List of positive integer divisors of 197 that divides 197 without a remainder.

1, 197

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Greatest Common Divisior

We found the divisors of 289, 197, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 197, 966 is 1.

Therefore, GCD of numbers 289, 197, 966 is 1

Given Input Data is 289, 197, 966

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 197 is 197

Prime Factorization of 966 is 2 x 3 x 7 x 23

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(289, 197) = 56933

GCD(289, 197) = ( 289 x 197 ) / 56933

GCD(289, 197) = 56933 / 56933

GCD(289, 197) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 966

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

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

GCD(1, 966) = 966 / 966

GCD(1, 966) = 1

GCD of 289, 197, 966 is 1

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1. What is the GCD of 289, 197, 966?

GCD of 289, 197, 966 is 1

2. Where do I get the detailed procedure to find GCD of 289, 197, 966?

You can find a detailed procedure to find GCD of 289, 197, 966 on our page.

3. How to find GCD of 289, 197, 966 on a calculator?

You can find the GCD of 289, 197, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.