GCD of 515, 209, 238 Calculator

Given Input numbers are 515, 209, 238

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

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Divisors of 209

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

1, 11, 19, 209

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Greatest Common Divisior

We found the divisors of 515, 209, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 515, 209, 238 is 1.

Therefore, GCD of numbers 515, 209, 238 is 1

Given Input Data is 515, 209, 238

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

Prime Factorization of 515 is 5 x 103

Prime Factorization of 209 is 11 x 19

Prime Factorization of 238 is 2 x 7 x 17

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(515, 209) = 107635

GCD(515, 209) = ( 515 x 209 ) / 107635

GCD(515, 209) = 107635 / 107635

GCD(515, 209) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 238

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

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

GCD(1, 238) = 238 / 238

GCD(1, 238) = 1

GCD of 515, 209, 238 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 382, 644, 315
• GCD of 676, 701, 353
• GCD of 150, 813, 426
• GCD of 426, 319, 275
• GCD of 838, 652, 679

1. What is the GCD of 515, 209, 238?

GCD of 515, 209, 238 is 1

2. Where do I get the detailed procedure to find GCD of 515, 209, 238?

You can find a detailed procedure to find GCD of 515, 209, 238 on our page.

3. How to find GCD of 515, 209, 238 on a calculator?

You can find the GCD of 515, 209, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.