GCD of 363, 458, 195, 852 Calculator

Given Input numbers are 363, 458, 195, 852

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Greatest Common Divisior

We found the divisors of 363, 458, 195, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 458, 195, 852 is 1.

Therefore, GCD of numbers 363, 458, 195, 852 is 1

Given Input Data is 363, 458, 195, 852

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

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 458 is 2 x 229

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 852 is 2 x 2 x 3 x 71

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(363, 458) = 166254

GCD(363, 458) = ( 363 x 458 ) / 166254

GCD(363, 458) = 166254 / 166254

GCD(363, 458) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 195

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

LCM(1, 195) = 195

GCD(1, 195) = ( 1 x 195 ) / 195

GCD(1, 195) = 195 / 195

GCD(1, 195) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 852

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

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

GCD(1, 852) = 852 / 852

GCD(1, 852) = 1

GCD of 363, 458, 195, 852 is 1

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1. What is the GCD of 363, 458, 195, 852?

GCD of 363, 458, 195, 852 is 1

2. Where do I get the detailed procedure to find GCD of 363, 458, 195, 852?

You can find a detailed procedure to find GCD of 363, 458, 195, 852 on our page.

3. How to find GCD of 363, 458, 195, 852 on a calculator?

You can find the GCD of 363, 458, 195, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.