GCD of 260, 585, 845, 485 Calculator

Given Input numbers are 260, 585, 845, 485

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 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Divisors of 485

List of positive integer divisors of 485 that divides 485 without a remainder.

1, 5, 97, 485

Greatest Common Divisior

We found the divisors of 260, 585, 845, 485 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 585, 845, 485 is 5.

Therefore, GCD of numbers 260, 585, 845, 485 is 5

Given Input Data is 260, 585, 845, 485

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 585 is 3 x 3 x 5 x 13

Prime Factorization of 845 is 5 x 13 x 13

Prime Factorization of 485 is 5 x 97

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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, 585) = 2340

GCD(260, 585) = ( 260 x 585 ) / 2340

GCD(260, 585) = 152100 / 2340

GCD(260, 585) = 65

Step2:

Here we consider the GCD from the above i.e. 65 as first number and the next as 845

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

LCM(65, 845) = 845

GCD(65, 845) = ( 65 x 845 ) / 845

GCD(65, 845) = 54925 / 845

GCD(65, 845) = 65

Step3:

Here we consider the GCD from the above i.e. 65 as first number and the next as 485

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

LCM(65, 485) = 6305

GCD(65, 485) = ( 65 x 485 ) / 6305

GCD(65, 485) = 31525 / 6305

GCD(65, 485) = 5

GCD of 260, 585, 845, 485 is 5

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• GCD of 726, 279, 314, 339
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1. What is the GCD of 260, 585, 845, 485?

GCD of 260, 585, 845, 485 is 5

2. Where do I get the detailed procedure to find GCD of 260, 585, 845, 485?

You can find a detailed procedure to find GCD of 260, 585, 845, 485 on our page.

3. How to find GCD of 260, 585, 845, 485 on a calculator?

You can find the GCD of 260, 585, 845, 485 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.