GCD of 768, 273, 681, 593 Calculator

Given Input numbers are 768, 273, 681, 593

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

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Divisors of 593

List of positive integer divisors of 593 that divides 593 without a remainder.

1, 593

Greatest Common Divisior

We found the divisors of 768, 273, 681, 593 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 273, 681, 593 is 1.

Therefore, GCD of numbers 768, 273, 681, 593 is 1

Given Input Data is 768, 273, 681, 593

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

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 681 is 3 x 227

Prime Factorization of 593 is 593

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(768, 273) = 69888

GCD(768, 273) = ( 768 x 273 ) / 69888

GCD(768, 273) = 209664 / 69888

GCD(768, 273) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 681

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

LCM(3, 681) = 681

GCD(3, 681) = ( 3 x 681 ) / 681

GCD(3, 681) = 2043 / 681

GCD(3, 681) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 593

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

LCM(3, 593) = 1779

GCD(3, 593) = ( 3 x 593 ) / 1779

GCD(3, 593) = 1779 / 1779

GCD(3, 593) = 1

GCD of 768, 273, 681, 593 is 1

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1. What is the GCD of 768, 273, 681, 593?

GCD of 768, 273, 681, 593 is 1

2. Where do I get the detailed procedure to find GCD of 768, 273, 681, 593?

You can find a detailed procedure to find GCD of 768, 273, 681, 593 on our page.

3. How to find GCD of 768, 273, 681, 593 on a calculator?

You can find the GCD of 768, 273, 681, 593 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.