GCD of 11, 229, 400, 789 Calculator

Given Input numbers are 11, 229, 400, 789

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

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 789

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

1, 3, 263, 789

Greatest Common Divisior

We found the divisors of 11, 229, 400, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 11, 229, 400, 789 is 1.

Therefore, GCD of numbers 11, 229, 400, 789 is 1

Given Input Data is 11, 229, 400, 789

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

Prime Factorization of 11 is 11

Prime Factorization of 229 is 229

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 789 is 3 x 263

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(11, 229) = 2519

GCD(11, 229) = ( 11 x 229 ) / 2519

GCD(11, 229) = 2519 / 2519

GCD(11, 229) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 789

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

LCM(1, 789) = 789

GCD(1, 789) = ( 1 x 789 ) / 789

GCD(1, 789) = 789 / 789

GCD(1, 789) = 1

GCD of 11, 229, 400, 789 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 87, 918, 679, 617
• GCD of 26, 580, 872, 530
• GCD of 24, 630, 912, 649
• GCD of 22, 868, 958, 316
• GCD of 47, 718, 200, 861

1. What is the GCD of 11, 229, 400, 789?

GCD of 11, 229, 400, 789 is 1

2. Where do I get the detailed procedure to find GCD of 11, 229, 400, 789?

You can find a detailed procedure to find GCD of 11, 229, 400, 789 on our page.

3. How to find GCD of 11, 229, 400, 789 on a calculator?

You can find the GCD of 11, 229, 400, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.