GCD of 788, 184, 949, 824 Calculator

Given Input numbers are 788, 184, 949, 824

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 184

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

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

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 788, 184, 949, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 184, 949, 824 is 1.

Therefore, GCD of numbers 788, 184, 949, 824 is 1

Given Input Data is 788, 184, 949, 824

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 184 is 2 x 2 x 2 x 23

Prime Factorization of 949 is 13 x 73

Prime Factorization of 824 is 2 x 2 x 2 x 103

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, 184) = 36248

GCD(788, 184) = ( 788 x 184 ) / 36248

GCD(788, 184) = 144992 / 36248

GCD(788, 184) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 949

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

LCM(4, 949) = 3796

GCD(4, 949) = ( 4 x 949 ) / 3796

GCD(4, 949) = 3796 / 3796

GCD(4, 949) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

GCD of 788, 184, 949, 824 is 1

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1. What is the GCD of 788, 184, 949, 824?

GCD of 788, 184, 949, 824 is 1

2. Where do I get the detailed procedure to find GCD of 788, 184, 949, 824?

You can find a detailed procedure to find GCD of 788, 184, 949, 824 on our page.

3. How to find GCD of 788, 184, 949, 824 on a calculator?

You can find the GCD of 788, 184, 949, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.