GCD of 291, 819, 412, 966 Calculator

Given Input numbers are 291, 819, 412, 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 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

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, 819, 412, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 291, 819, 412, 966 is 1.

Therefore, GCD of numbers 291, 819, 412, 966 is 1

Given Input Data is 291, 819, 412, 966

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

Prime Factorization of 291 is 3 x 97

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 412 is 2 x 2 x 103

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(291, 819) = 79443

GCD(291, 819) = ( 291 x 819 ) / 79443

GCD(291, 819) = 238329 / 79443

GCD(291, 819) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 412

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

LCM(3, 412) = 1236

GCD(3, 412) = ( 3 x 412 ) / 1236

GCD(3, 412) = 1236 / 1236

GCD(3, 412) = 1

Step3:

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 291, 819, 412, 966 is 1

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1. What is the GCD of 291, 819, 412, 966?

GCD of 291, 819, 412, 966 is 1

2. Where do I get the detailed procedure to find GCD of 291, 819, 412, 966?

You can find a detailed procedure to find GCD of 291, 819, 412, 966 on our page.

3. How to find GCD of 291, 819, 412, 966 on a calculator?

You can find the GCD of 291, 819, 412, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.