GCD of 29, 311, 789, 608 Calculator

Given Input numbers are 29, 311, 789, 608

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

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 789

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

1, 3, 263, 789

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Greatest Common Divisior

We found the divisors of 29, 311, 789, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 311, 789, 608 is 1.

Therefore, GCD of numbers 29, 311, 789, 608 is 1

Given Input Data is 29, 311, 789, 608

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

Prime Factorization of 29 is 29

Prime Factorization of 311 is 311

Prime Factorization of 789 is 3 x 263

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

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(29, 311) = 9019

GCD(29, 311) = ( 29 x 311 ) / 9019

GCD(29, 311) = 9019 / 9019

GCD(29, 311) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 608

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

LCM(1, 608) = 608

GCD(1, 608) = ( 1 x 608 ) / 608

GCD(1, 608) = 608 / 608

GCD(1, 608) = 1

GCD of 29, 311, 789, 608 is 1

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1. What is the GCD of 29, 311, 789, 608?

GCD of 29, 311, 789, 608 is 1

2. Where do I get the detailed procedure to find GCD of 29, 311, 789, 608?

You can find a detailed procedure to find GCD of 29, 311, 789, 608 on our page.

3. How to find GCD of 29, 311, 789, 608 on a calculator?

You can find the GCD of 29, 311, 789, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.