GCD of 789, 723, 64, 586 Calculator

Given Input numbers are 789, 723, 64, 586

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 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Greatest Common Divisior

We found the divisors of 789, 723, 64, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 723, 64, 586 is 1.

Therefore, GCD of numbers 789, 723, 64, 586 is 1

Given Input Data is 789, 723, 64, 586

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 723 is 3 x 241

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 586 is 2 x 293

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, 723) = 190149

GCD(789, 723) = ( 789 x 723 ) / 190149

GCD(789, 723) = 570447 / 190149

GCD(789, 723) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 64

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

LCM(3, 64) = 192

GCD(3, 64) = ( 3 x 64 ) / 192

GCD(3, 64) = 192 / 192

GCD(3, 64) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 586

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

LCM(1, 586) = 586

GCD(1, 586) = ( 1 x 586 ) / 586

GCD(1, 586) = 586 / 586

GCD(1, 586) = 1

GCD of 789, 723, 64, 586 is 1

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• GCD of 281, 936, 40, 502
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1. What is the GCD of 789, 723, 64, 586?

GCD of 789, 723, 64, 586 is 1

2. Where do I get the detailed procedure to find GCD of 789, 723, 64, 586?

You can find a detailed procedure to find GCD of 789, 723, 64, 586 on our page.

3. How to find GCD of 789, 723, 64, 586 on a calculator?

You can find the GCD of 789, 723, 64, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.