GCD of 768, 243, 89, 573 Calculator

Given Input numbers are 768, 243, 89, 573

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 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 573

List of positive integer divisors of 573 that divides 573 without a remainder.

1, 3, 191, 573

Greatest Common Divisior

We found the divisors of 768, 243, 89, 573 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 243, 89, 573 is 1.

Therefore, GCD of numbers 768, 243, 89, 573 is 1

Given Input Data is 768, 243, 89, 573

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 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 89 is 89

Prime Factorization of 573 is 3 x 191

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, 243) = 62208

GCD(768, 243) = ( 768 x 243 ) / 62208

GCD(768, 243) = 186624 / 62208

GCD(768, 243) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 89

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

LCM(3, 89) = 267

GCD(3, 89) = ( 3 x 89 ) / 267

GCD(3, 89) = 267 / 267

GCD(3, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 573

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

LCM(1, 573) = 573

GCD(1, 573) = ( 1 x 573 ) / 573

GCD(1, 573) = 573 / 573

GCD(1, 573) = 1

GCD of 768, 243, 89, 573 is 1

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1. What is the GCD of 768, 243, 89, 573?

GCD of 768, 243, 89, 573 is 1

2. Where do I get the detailed procedure to find GCD of 768, 243, 89, 573?

You can find a detailed procedure to find GCD of 768, 243, 89, 573 on our page.

3. How to find GCD of 768, 243, 89, 573 on a calculator?

You can find the GCD of 768, 243, 89, 573 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.