GCD of 789, 176, 99, 428 Calculator

Given Input numbers are 789, 176, 99, 428

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 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Greatest Common Divisior

We found the divisors of 789, 176, 99, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 176, 99, 428 is 1.

Therefore, GCD of numbers 789, 176, 99, 428 is 1

Given Input Data is 789, 176, 99, 428

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 428 is 2 x 2 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, 176) = 138864

GCD(789, 176) = ( 789 x 176 ) / 138864

GCD(789, 176) = 138864 / 138864

GCD(789, 176) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 428

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

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

GCD(1, 428) = 428 / 428

GCD(1, 428) = 1

GCD of 789, 176, 99, 428 is 1

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1. What is the GCD of 789, 176, 99, 428?

GCD of 789, 176, 99, 428 is 1

2. Where do I get the detailed procedure to find GCD of 789, 176, 99, 428?

You can find a detailed procedure to find GCD of 789, 176, 99, 428 on our page.

3. How to find GCD of 789, 176, 99, 428 on a calculator?

You can find the GCD of 789, 176, 99, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.