GCD of 184, 978, 903, 966 Calculator

Given Input numbers are 184, 978, 903, 966

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

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

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 184, 978, 903, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 184, 978, 903, 966 is 1.

Therefore, GCD of numbers 184, 978, 903, 966 is 1

Given Input Data is 184, 978, 903, 966

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

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 903 is 3 x 7 x 43

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(184, 978) = 89976

GCD(184, 978) = ( 184 x 978 ) / 89976

GCD(184, 978) = 179952 / 89976

GCD(184, 978) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 903

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

LCM(2, 903) = 1806

GCD(2, 903) = ( 2 x 903 ) / 1806

GCD(2, 903) = 1806 / 1806

GCD(2, 903) = 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 184, 978, 903, 966 is 1

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1. What is the GCD of 184, 978, 903, 966?

GCD of 184, 978, 903, 966 is 1

2. Where do I get the detailed procedure to find GCD of 184, 978, 903, 966?

You can find a detailed procedure to find GCD of 184, 978, 903, 966 on our page.

3. How to find GCD of 184, 978, 903, 966 on a calculator?

You can find the GCD of 184, 978, 903, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.