GCD of 363, 398, 345, 846 Calculator

Given Input numbers are 363, 398, 345, 846

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 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Greatest Common Divisior

We found the divisors of 363, 398, 345, 846 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 398, 345, 846 is 1.

Therefore, GCD of numbers 363, 398, 345, 846 is 1

Given Input Data is 363, 398, 345, 846

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 398 is 2 x 199

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 846 is 2 x 3 x 3 x 47

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, 398) = 144474

GCD(363, 398) = ( 363 x 398 ) / 144474

GCD(363, 398) = 144474 / 144474

GCD(363, 398) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 846

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

LCM(1, 846) = 846

GCD(1, 846) = ( 1 x 846 ) / 846

GCD(1, 846) = 846 / 846

GCD(1, 846) = 1

GCD of 363, 398, 345, 846 is 1

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1. What is the GCD of 363, 398, 345, 846?

GCD of 363, 398, 345, 846 is 1

2. Where do I get the detailed procedure to find GCD of 363, 398, 345, 846?

You can find a detailed procedure to find GCD of 363, 398, 345, 846 on our page.

3. How to find GCD of 363, 398, 345, 846 on a calculator?

You can find the GCD of 363, 398, 345, 846 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.