GCD of 788, 284, 966, 181 Calculator

Given Input numbers are 788, 284, 966, 181

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

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

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

Divisors of 181

List of positive integer divisors of 181 that divides 181 without a remainder.

1, 181

Greatest Common Divisior

We found the divisors of 788, 284, 966, 181 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 284, 966, 181 is 1.

Therefore, GCD of numbers 788, 284, 966, 181 is 1

Given Input Data is 788, 284, 966, 181

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

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 284 is 2 x 2 x 71

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

Prime Factorization of 181 is 181

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(788, 284) = 55948

GCD(788, 284) = ( 788 x 284 ) / 55948

GCD(788, 284) = 223792 / 55948

GCD(788, 284) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 966

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

LCM(4, 966) = 1932

GCD(4, 966) = ( 4 x 966 ) / 1932

GCD(4, 966) = 3864 / 1932

GCD(4, 966) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 181

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

LCM(2, 181) = 362

GCD(2, 181) = ( 2 x 181 ) / 362

GCD(2, 181) = 362 / 362

GCD(2, 181) = 1

GCD of 788, 284, 966, 181 is 1

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1. What is the GCD of 788, 284, 966, 181?

GCD of 788, 284, 966, 181 is 1

2. Where do I get the detailed procedure to find GCD of 788, 284, 966, 181?

You can find a detailed procedure to find GCD of 788, 284, 966, 181 on our page.

3. How to find GCD of 788, 284, 966, 181 on a calculator?

You can find the GCD of 788, 284, 966, 181 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.