GCD of 291, 165, 966 Calculator

Given Input numbers are 291, 165, 966

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

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

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 291, 165, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 291, 165, 966 is 3.

Therefore, GCD of numbers 291, 165, 966 is 3

Given Input Data is 291, 165, 966

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

Prime Factorization of 291 is 3 x 97

Prime Factorization of 165 is 3 x 5 x 11

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(291, 165) = 16005

GCD(291, 165) = ( 291 x 165 ) / 16005

GCD(291, 165) = 48015 / 16005

GCD(291, 165) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 966

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

LCM(3, 966) = 966

GCD(3, 966) = ( 3 x 966 ) / 966

GCD(3, 966) = 2898 / 966

GCD(3, 966) = 3

GCD of 291, 165, 966 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 206, 880, 430
• GCD of 313, 851, 583
• GCD of 911, 335, 679
• GCD of 272, 663, 865
• GCD of 107, 870, 722

1. What is the GCD of 291, 165, 966?

GCD of 291, 165, 966 is 3

2. Where do I get the detailed procedure to find GCD of 291, 165, 966?

You can find a detailed procedure to find GCD of 291, 165, 966 on our page.

3. How to find GCD of 291, 165, 966 on a calculator?

You can find the GCD of 291, 165, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.