GCD of 168, 600, 109, 789 Calculator

Given Input numbers are 168, 600, 109, 789

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

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

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 168, 600, 109, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 600, 109, 789 is 1.

Therefore, GCD of numbers 168, 600, 109, 789 is 1

Given Input Data is 168, 600, 109, 789

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

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 109 is 109

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(168, 600) = 4200

GCD(168, 600) = ( 168 x 600 ) / 4200

GCD(168, 600) = 100800 / 4200

GCD(168, 600) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 109

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

LCM(24, 109) = 2616

GCD(24, 109) = ( 24 x 109 ) / 2616

GCD(24, 109) = 2616 / 2616

GCD(24, 109) = 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 168, 600, 109, 789 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 129, 704, 413, 919
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• GCD of 629, 610, 339, 863

1. What is the GCD of 168, 600, 109, 789?

GCD of 168, 600, 109, 789 is 1

2. Where do I get the detailed procedure to find GCD of 168, 600, 109, 789?

You can find a detailed procedure to find GCD of 168, 600, 109, 789 on our page.

3. How to find GCD of 168, 600, 109, 789 on a calculator?

You can find the GCD of 168, 600, 109, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.