GCD of 259, 484, 361, 368 Calculator

Given Input numbers are 259, 484, 361, 368

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

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Greatest Common Divisior

We found the divisors of 259, 484, 361, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 484, 361, 368 is 1.

Therefore, GCD of numbers 259, 484, 361, 368 is 1

Given Input Data is 259, 484, 361, 368

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

Prime Factorization of 259 is 7 x 37

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 361 is 19 x 19

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

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(259, 484) = 125356

GCD(259, 484) = ( 259 x 484 ) / 125356

GCD(259, 484) = 125356 / 125356

GCD(259, 484) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 368

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

LCM(1, 368) = 368

GCD(1, 368) = ( 1 x 368 ) / 368

GCD(1, 368) = 368 / 368

GCD(1, 368) = 1

GCD of 259, 484, 361, 368 is 1

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1. What is the GCD of 259, 484, 361, 368?

GCD of 259, 484, 361, 368 is 1

2. Where do I get the detailed procedure to find GCD of 259, 484, 361, 368?

You can find a detailed procedure to find GCD of 259, 484, 361, 368 on our page.

3. How to find GCD of 259, 484, 361, 368 on a calculator?

You can find the GCD of 259, 484, 361, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.