GCD of 260, 239, 359, 289 Calculator

Given Input numbers are 260, 239, 359, 289

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

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 239

List of positive integer divisors of 239 that divides 239 without a remainder.

1, 239

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 260, 239, 359, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 239, 359, 289 is 1.

Therefore, GCD of numbers 260, 239, 359, 289 is 1

Given Input Data is 260, 239, 359, 289

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

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 239 is 239

Prime Factorization of 359 is 359

Prime Factorization of 289 is 17 x 17

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(260, 239) = 62140

GCD(260, 239) = ( 260 x 239 ) / 62140

GCD(260, 239) = 62140 / 62140

GCD(260, 239) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 359

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

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

GCD(1, 359) = 359 / 359

GCD(1, 359) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

GCD of 260, 239, 359, 289 is 1

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1. What is the GCD of 260, 239, 359, 289?

GCD of 260, 239, 359, 289 is 1

2. Where do I get the detailed procedure to find GCD of 260, 239, 359, 289?

You can find a detailed procedure to find GCD of 260, 239, 359, 289 on our page.

3. How to find GCD of 260, 239, 359, 289 on a calculator?

You can find the GCD of 260, 239, 359, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.