GCD of 684, 963, 184, 994 Calculator

Given Input numbers are 684, 963, 184, 994

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

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

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 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Greatest Common Divisior

We found the divisors of 684, 963, 184, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 963, 184, 994 is 1.

Therefore, GCD of numbers 684, 963, 184, 994 is 1

Given Input Data is 684, 963, 184, 994

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 963 is 3 x 3 x 107

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

Prime Factorization of 994 is 2 x 7 x 71

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(684, 963) = 73188

GCD(684, 963) = ( 684 x 963 ) / 73188

GCD(684, 963) = 658692 / 73188

GCD(684, 963) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 184

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

LCM(9, 184) = 1656

GCD(9, 184) = ( 9 x 184 ) / 1656

GCD(9, 184) = 1656 / 1656

GCD(9, 184) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 994

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

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

GCD(1, 994) = 994 / 994

GCD(1, 994) = 1

GCD of 684, 963, 184, 994 is 1

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1. What is the GCD of 684, 963, 184, 994?

GCD of 684, 963, 184, 994 is 1

2. Where do I get the detailed procedure to find GCD of 684, 963, 184, 994?

You can find a detailed procedure to find GCD of 684, 963, 184, 994 on our page.

3. How to find GCD of 684, 963, 184, 994 on a calculator?

You can find the GCD of 684, 963, 184, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.