GCD of 363, 152, 13, 209 Calculator

Given Input numbers are 363, 152, 13, 209

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 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Greatest Common Divisior

We found the divisors of 363, 152, 13, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 152, 13, 209 is 1.

Therefore, GCD of numbers 363, 152, 13, 209 is 1

Given Input Data is 363, 152, 13, 209

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 152 is 2 x 2 x 2 x 19

Prime Factorization of 13 is 13

Prime Factorization of 209 is 11 x 19

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, 152) = 55176

GCD(363, 152) = ( 363 x 152 ) / 55176

GCD(363, 152) = 55176 / 55176

GCD(363, 152) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 209

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

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

GCD(1, 209) = 209 / 209

GCD(1, 209) = 1

GCD of 363, 152, 13, 209 is 1

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1. What is the GCD of 363, 152, 13, 209?

GCD of 363, 152, 13, 209 is 1

2. Where do I get the detailed procedure to find GCD of 363, 152, 13, 209?

You can find a detailed procedure to find GCD of 363, 152, 13, 209 on our page.

3. How to find GCD of 363, 152, 13, 209 on a calculator?

You can find the GCD of 363, 152, 13, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.