GCD of 514, 789, 64, 321 Calculator

Given Input numbers are 514, 789, 64, 321

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

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 789

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

1, 3, 263, 789

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 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Greatest Common Divisior

We found the divisors of 514, 789, 64, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 514, 789, 64, 321 is 1.

Therefore, GCD of numbers 514, 789, 64, 321 is 1

Given Input Data is 514, 789, 64, 321

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

Prime Factorization of 514 is 2 x 257

Prime Factorization of 789 is 3 x 263

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

Prime Factorization of 321 is 3 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(514, 789) = 405546

GCD(514, 789) = ( 514 x 789 ) / 405546

GCD(514, 789) = 405546 / 405546

GCD(514, 789) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 64

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

LCM(1, 64) = 64

GCD(1, 64) = ( 1 x 64 ) / 64

GCD(1, 64) = 64 / 64

GCD(1, 64) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 321

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

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

GCD(1, 321) = 321 / 321

GCD(1, 321) = 1

GCD of 514, 789, 64, 321 is 1

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1. What is the GCD of 514, 789, 64, 321?

GCD of 514, 789, 64, 321 is 1

2. Where do I get the detailed procedure to find GCD of 514, 789, 64, 321?

You can find a detailed procedure to find GCD of 514, 789, 64, 321 on our page.

3. How to find GCD of 514, 789, 64, 321 on a calculator?

You can find the GCD of 514, 789, 64, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.