GCD of 217, 584, 44, 789 Calculator

Given Input numbers are 217, 584, 44, 789

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

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

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 217, 584, 44, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 584, 44, 789 is 1.

Therefore, GCD of numbers 217, 584, 44, 789 is 1

Given Input Data is 217, 584, 44, 789

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 44 is 2 x 2 x 11

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(217, 584) = 126728

GCD(217, 584) = ( 217 x 584 ) / 126728

GCD(217, 584) = 126728 / 126728

GCD(217, 584) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 44

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

LCM(1, 44) = 44

GCD(1, 44) = ( 1 x 44 ) / 44

GCD(1, 44) = 44 / 44

GCD(1, 44) = 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 217, 584, 44, 789 is 1

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1. What is the GCD of 217, 584, 44, 789?

GCD of 217, 584, 44, 789 is 1

2. Where do I get the detailed procedure to find GCD of 217, 584, 44, 789?

You can find a detailed procedure to find GCD of 217, 584, 44, 789 on our page.

3. How to find GCD of 217, 584, 44, 789 on a calculator?

You can find the GCD of 217, 584, 44, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.