GCD of 13, 665, 506, 189 Calculator

Given Input numbers are 13, 665, 506, 189

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

Divisors of 13

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

1, 13

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Greatest Common Divisior

We found the divisors of 13, 665, 506, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 665, 506, 189 is 1.

Therefore, GCD of numbers 13, 665, 506, 189 is 1

Given Input Data is 13, 665, 506, 189

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

Prime Factorization of 13 is 13

Prime Factorization of 665 is 5 x 7 x 19

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 189 is 3 x 3 x 3 x 7

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(13, 665) = 8645

GCD(13, 665) = ( 13 x 665 ) / 8645

GCD(13, 665) = 8645 / 8645

GCD(13, 665) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 506

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

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

GCD(1, 506) = 506 / 506

GCD(1, 506) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

GCD of 13, 665, 506, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 39, 114, 810, 287
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• GCD of 91, 971, 114, 921
• GCD of 88, 820, 173, 767
• GCD of 70, 948, 238, 125

1. What is the GCD of 13, 665, 506, 189?

GCD of 13, 665, 506, 189 is 1

2. Where do I get the detailed procedure to find GCD of 13, 665, 506, 189?

You can find a detailed procedure to find GCD of 13, 665, 506, 189 on our page.

3. How to find GCD of 13, 665, 506, 189 on a calculator?

You can find the GCD of 13, 665, 506, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.