GCD of 369, 836, 289, 260 Calculator

Given Input numbers are 369, 836, 289, 260

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 289

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

1, 17, 289

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 369, 836, 289, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 836, 289, 260 is 1.

Therefore, GCD of numbers 369, 836, 289, 260 is 1

Given Input Data is 369, 836, 289, 260

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 836 is 2 x 2 x 11 x 19

Prime Factorization of 289 is 17 x 17

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

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(369, 836) = 308484

GCD(369, 836) = ( 369 x 836 ) / 308484

GCD(369, 836) = 308484 / 308484

GCD(369, 836) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 260

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

LCM(1, 260) = 260

GCD(1, 260) = ( 1 x 260 ) / 260

GCD(1, 260) = 260 / 260

GCD(1, 260) = 1

GCD of 369, 836, 289, 260 is 1

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1. What is the GCD of 369, 836, 289, 260?

GCD of 369, 836, 289, 260 is 1

2. Where do I get the detailed procedure to find GCD of 369, 836, 289, 260?

You can find a detailed procedure to find GCD of 369, 836, 289, 260 on our page.

3. How to find GCD of 369, 836, 289, 260 on a calculator?

You can find the GCD of 369, 836, 289, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.