GCD of 636, 418, 590, 260 Calculator

Given Input numbers are 636, 418, 590, 260

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

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

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

Greatest Common Divisior

We found the divisors of 636, 418, 590, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 636, 418, 590, 260 is 2.

Therefore, GCD of numbers 636, 418, 590, 260 is 2

Given Input Data is 636, 418, 590, 260

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

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 590 is 2 x 5 x 59

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(636, 418) = 132924

GCD(636, 418) = ( 636 x 418 ) / 132924

GCD(636, 418) = 265848 / 132924

GCD(636, 418) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 590

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

LCM(2, 590) = 590

GCD(2, 590) = ( 2 x 590 ) / 590

GCD(2, 590) = 1180 / 590

GCD(2, 590) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 260

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

LCM(2, 260) = 260

GCD(2, 260) = ( 2 x 260 ) / 260

GCD(2, 260) = 520 / 260

GCD(2, 260) = 2

GCD of 636, 418, 590, 260 is 2

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1. What is the GCD of 636, 418, 590, 260?

GCD of 636, 418, 590, 260 is 2

2. Where do I get the detailed procedure to find GCD of 636, 418, 590, 260?

You can find a detailed procedure to find GCD of 636, 418, 590, 260 on our page.

3. How to find GCD of 636, 418, 590, 260 on a calculator?

You can find the GCD of 636, 418, 590, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.