GCD of 13, 176, 292, 209 Calculator

Given Input numbers are 13, 176, 292, 209

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 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

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 13, 176, 292, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 176, 292, 209 is 1.

Therefore, GCD of numbers 13, 176, 292, 209 is 1

Given Input Data is 13, 176, 292, 209

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

Prime Factorization of 13 is 13

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 292 is 2 x 2 x 73

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(13, 176) = 2288

GCD(13, 176) = ( 13 x 176 ) / 2288

GCD(13, 176) = 2288 / 2288

GCD(13, 176) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 292

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

LCM(1, 292) = 292

GCD(1, 292) = ( 1 x 292 ) / 292

GCD(1, 292) = 292 / 292

GCD(1, 292) = 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 13, 176, 292, 209 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 89, 175, 635, 921
• GCD of 72, 682, 648, 718
• GCD of 62, 381, 114, 593
• GCD of 35, 799, 597, 940
• GCD of 84, 708, 588, 822

1. What is the GCD of 13, 176, 292, 209?

GCD of 13, 176, 292, 209 is 1

2. Where do I get the detailed procedure to find GCD of 13, 176, 292, 209?

You can find a detailed procedure to find GCD of 13, 176, 292, 209 on our page.

3. How to find GCD of 13, 176, 292, 209 on a calculator?

You can find the GCD of 13, 176, 292, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.