GCD of 789, 756, 994, 963 Calculator

Given Input numbers are 789, 756, 994, 963

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

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 994

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

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

Divisors of 963

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

1, 3, 9, 107, 321, 963

Greatest Common Divisior

We found the divisors of 789, 756, 994, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 756, 994, 963 is 1.

Therefore, GCD of numbers 789, 756, 994, 963 is 1

Given Input Data is 789, 756, 994, 963

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 963 is 3 x 3 x 107

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(789, 756) = 198828

GCD(789, 756) = ( 789 x 756 ) / 198828

GCD(789, 756) = 596484 / 198828

GCD(789, 756) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 994

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

LCM(3, 994) = 2982

GCD(3, 994) = ( 3 x 994 ) / 2982

GCD(3, 994) = 2982 / 2982

GCD(3, 994) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 963

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

LCM(1, 963) = 963

GCD(1, 963) = ( 1 x 963 ) / 963

GCD(1, 963) = 963 / 963

GCD(1, 963) = 1

GCD of 789, 756, 994, 963 is 1

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1. What is the GCD of 789, 756, 994, 963?

GCD of 789, 756, 994, 963 is 1

2. Where do I get the detailed procedure to find GCD of 789, 756, 994, 963?

You can find a detailed procedure to find GCD of 789, 756, 994, 963 on our page.

3. How to find GCD of 789, 756, 994, 963 on a calculator?

You can find the GCD of 789, 756, 994, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.