GCD of 729, 305, 680, 259 Calculator

Given Input numbers are 729, 305, 680, 259

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

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Greatest Common Divisior

We found the divisors of 729, 305, 680, 259 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 305, 680, 259 is 1.

Therefore, GCD of numbers 729, 305, 680, 259 is 1

Given Input Data is 729, 305, 680, 259

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

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 305 is 5 x 61

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 259 is 7 x 37

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(729, 305) = 222345

GCD(729, 305) = ( 729 x 305 ) / 222345

GCD(729, 305) = 222345 / 222345

GCD(729, 305) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 680

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

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

GCD(1, 680) = 680 / 680

GCD(1, 680) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 259

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

LCM(1, 259) = 259

GCD(1, 259) = ( 1 x 259 ) / 259

GCD(1, 259) = 259 / 259

GCD(1, 259) = 1

GCD of 729, 305, 680, 259 is 1

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• GCD of 181, 838, 116, 206
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1. What is the GCD of 729, 305, 680, 259?

GCD of 729, 305, 680, 259 is 1

2. Where do I get the detailed procedure to find GCD of 729, 305, 680, 259?

You can find a detailed procedure to find GCD of 729, 305, 680, 259 on our page.

3. How to find GCD of 729, 305, 680, 259 on a calculator?

You can find the GCD of 729, 305, 680, 259 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.