GCD of 194, 869, 27, 966 Calculator

Given Input numbers are 194, 869, 27, 966

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

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

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 194, 869, 27, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 194, 869, 27, 966 is 1.

Therefore, GCD of numbers 194, 869, 27, 966 is 1

Given Input Data is 194, 869, 27, 966

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

Prime Factorization of 194 is 2 x 97

Prime Factorization of 869 is 11 x 79

Prime Factorization of 27 is 3 x 3 x 3

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(194, 869) = 168586

GCD(194, 869) = ( 194 x 869 ) / 168586

GCD(194, 869) = 168586 / 168586

GCD(194, 869) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 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 194, 869, 27, 966 is 1

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1. What is the GCD of 194, 869, 27, 966?

GCD of 194, 869, 27, 966 is 1

2. Where do I get the detailed procedure to find GCD of 194, 869, 27, 966?

You can find a detailed procedure to find GCD of 194, 869, 27, 966 on our page.

3. How to find GCD of 194, 869, 27, 966 on a calculator?

You can find the GCD of 194, 869, 27, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.