GCD of 455, 260, 182, 638 Calculator

Given Input numbers are 455, 260, 182, 638

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

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

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 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Greatest Common Divisior

We found the divisors of 455, 260, 182, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 455, 260, 182, 638 is 1.

Therefore, GCD of numbers 455, 260, 182, 638 is 1

Given Input Data is 455, 260, 182, 638

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

Prime Factorization of 455 is 5 x 7 x 13

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

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 638 is 2 x 11 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(455, 260) = 1820

GCD(455, 260) = ( 455 x 260 ) / 1820

GCD(455, 260) = 118300 / 1820

GCD(455, 260) = 65

Step2:

Here we consider the GCD from the above i.e. 65 as first number and the next as 182

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

LCM(65, 182) = 910

GCD(65, 182) = ( 65 x 182 ) / 910

GCD(65, 182) = 11830 / 910

GCD(65, 182) = 13

Step3:

Here we consider the GCD from the above i.e. 13 as first number and the next as 638

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

LCM(13, 638) = 8294

GCD(13, 638) = ( 13 x 638 ) / 8294

GCD(13, 638) = 8294 / 8294

GCD(13, 638) = 1

GCD of 455, 260, 182, 638 is 1

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1. What is the GCD of 455, 260, 182, 638?

GCD of 455, 260, 182, 638 is 1

2. Where do I get the detailed procedure to find GCD of 455, 260, 182, 638?

You can find a detailed procedure to find GCD of 455, 260, 182, 638 on our page.

3. How to find GCD of 455, 260, 182, 638 on a calculator?

You can find the GCD of 455, 260, 182, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.