GCD of 302, 449, 855, 362 Calculator

Given Input numbers are 302, 449, 855, 362

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

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Greatest Common Divisior

We found the divisors of 302, 449, 855, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 449, 855, 362 is 1.

Therefore, GCD of numbers 302, 449, 855, 362 is 1

Given Input Data is 302, 449, 855, 362

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

Prime Factorization of 302 is 2 x 151

Prime Factorization of 449 is 449

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 362 is 2 x 181

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(302, 449) = 135598

GCD(302, 449) = ( 302 x 449 ) / 135598

GCD(302, 449) = 135598 / 135598

GCD(302, 449) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 855

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

LCM(1, 855) = 855

GCD(1, 855) = ( 1 x 855 ) / 855

GCD(1, 855) = 855 / 855

GCD(1, 855) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 362

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

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

GCD(1, 362) = 362 / 362

GCD(1, 362) = 1

GCD of 302, 449, 855, 362 is 1

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1. What is the GCD of 302, 449, 855, 362?

GCD of 302, 449, 855, 362 is 1

2. Where do I get the detailed procedure to find GCD of 302, 449, 855, 362?

You can find a detailed procedure to find GCD of 302, 449, 855, 362 on our page.

3. How to find GCD of 302, 449, 855, 362 on a calculator?

You can find the GCD of 302, 449, 855, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.