GCD of 289, 789, 318, 996 Calculator

Given Input numbers are 289, 789, 318, 996

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

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 789

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

1, 3, 263, 789

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 289, 789, 318, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 789, 318, 996 is 1.

Therefore, GCD of numbers 289, 789, 318, 996 is 1

Given Input Data is 289, 789, 318, 996

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 789 is 3 x 263

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 996 is 2 x 2 x 3 x 83

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(289, 789) = 228021

GCD(289, 789) = ( 289 x 789 ) / 228021

GCD(289, 789) = 228021 / 228021

GCD(289, 789) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 318

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

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 996

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

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

GCD(1, 996) = 996 / 996

GCD(1, 996) = 1

GCD of 289, 789, 318, 996 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 171, 193, 981, 305
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• GCD of 236, 318, 548, 555

1. What is the GCD of 289, 789, 318, 996?

GCD of 289, 789, 318, 996 is 1

2. Where do I get the detailed procedure to find GCD of 289, 789, 318, 996?

You can find a detailed procedure to find GCD of 289, 789, 318, 996 on our page.

3. How to find GCD of 289, 789, 318, 996 on a calculator?

You can find the GCD of 289, 789, 318, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.