GCD of 369, 260, 17, 609 Calculator

Given Input numbers are 369, 260, 17, 609

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 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 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Greatest Common Divisior

We found the divisors of 369, 260, 17, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 260, 17, 609 is 1.

Therefore, GCD of numbers 369, 260, 17, 609 is 1

Given Input Data is 369, 260, 17, 609

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 260 is 2 x 2 x 5 x 13

Prime Factorization of 17 is 17

Prime Factorization of 609 is 3 x 7 x 29

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, 260) = 95940

GCD(369, 260) = ( 369 x 260 ) / 95940

GCD(369, 260) = 95940 / 95940

GCD(369, 260) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 609

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

LCM(1, 609) = 609

GCD(1, 609) = ( 1 x 609 ) / 609

GCD(1, 609) = 609 / 609

GCD(1, 609) = 1

GCD of 369, 260, 17, 609 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 419, 556, 21, 763
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• GCD of 807, 734, 23, 287
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• GCD of 705, 271, 32, 548

1. What is the GCD of 369, 260, 17, 609?

GCD of 369, 260, 17, 609 is 1

2. Where do I get the detailed procedure to find GCD of 369, 260, 17, 609?

You can find a detailed procedure to find GCD of 369, 260, 17, 609 on our page.

3. How to find GCD of 369, 260, 17, 609 on a calculator?

You can find the GCD of 369, 260, 17, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.