GCD of 576, 273, 859, 261 Calculator

Given Input numbers are 576, 273, 859, 261

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

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

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 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Greatest Common Divisior

We found the divisors of 576, 273, 859, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 273, 859, 261 is 1.

Therefore, GCD of numbers 576, 273, 859, 261 is 1

Given Input Data is 576, 273, 859, 261

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

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 859 is 859

Prime Factorization of 261 is 3 x 3 x 29

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(576, 273) = 52416

GCD(576, 273) = ( 576 x 273 ) / 52416

GCD(576, 273) = 157248 / 52416

GCD(576, 273) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 859

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

LCM(3, 859) = 2577

GCD(3, 859) = ( 3 x 859 ) / 2577

GCD(3, 859) = 2577 / 2577

GCD(3, 859) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 261

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

LCM(1, 261) = 261

GCD(1, 261) = ( 1 x 261 ) / 261

GCD(1, 261) = 261 / 261

GCD(1, 261) = 1

GCD of 576, 273, 859, 261 is 1

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1. What is the GCD of 576, 273, 859, 261?

GCD of 576, 273, 859, 261 is 1

2. Where do I get the detailed procedure to find GCD of 576, 273, 859, 261?

You can find a detailed procedure to find GCD of 576, 273, 859, 261 on our page.

3. How to find GCD of 576, 273, 859, 261 on a calculator?

You can find the GCD of 576, 273, 859, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.