GCD of 363, 606, 618, 195 Calculator

Given Input numbers are 363, 606, 618, 195

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 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 195

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

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

Greatest Common Divisior

We found the divisors of 363, 606, 618, 195 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 606, 618, 195 is 3.

Therefore, GCD of numbers 363, 606, 618, 195 is 3

Given Input Data is 363, 606, 618, 195

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 606 is 2 x 3 x 101

Prime Factorization of 618 is 2 x 3 x 103

Prime Factorization of 195 is 3 x 5 x 13

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 606) = 73326

GCD(363, 606) = ( 363 x 606 ) / 73326

GCD(363, 606) = 219978 / 73326

GCD(363, 606) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 618

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

LCM(3, 618) = 618

GCD(3, 618) = ( 3 x 618 ) / 618

GCD(3, 618) = 1854 / 618

GCD(3, 618) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 195

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

LCM(3, 195) = 195

GCD(3, 195) = ( 3 x 195 ) / 195

GCD(3, 195) = 585 / 195

GCD(3, 195) = 3

GCD of 363, 606, 618, 195 is 3

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1. What is the GCD of 363, 606, 618, 195?

GCD of 363, 606, 618, 195 is 3

2. Where do I get the detailed procedure to find GCD of 363, 606, 618, 195?

You can find a detailed procedure to find GCD of 363, 606, 618, 195 on our page.

3. How to find GCD of 363, 606, 618, 195 on a calculator?

You can find the GCD of 363, 606, 618, 195 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.