GCD of 413, 350, 15, 239 Calculator

Given Input numbers are 413, 350, 15, 239

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

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 239

List of positive integer divisors of 239 that divides 239 without a remainder.

1, 239

Greatest Common Divisior

We found the divisors of 413, 350, 15, 239 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 413, 350, 15, 239 is 1.

Therefore, GCD of numbers 413, 350, 15, 239 is 1

Given Input Data is 413, 350, 15, 239

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

Prime Factorization of 413 is 7 x 59

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 15 is 3 x 5

Prime Factorization of 239 is 239

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(413, 350) = 20650

GCD(413, 350) = ( 413 x 350 ) / 20650

GCD(413, 350) = 144550 / 20650

GCD(413, 350) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 15

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

LCM(7, 15) = 105

GCD(7, 15) = ( 7 x 15 ) / 105

GCD(7, 15) = 105 / 105

GCD(7, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 239

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

LCM(1, 239) = 239

GCD(1, 239) = ( 1 x 239 ) / 239

GCD(1, 239) = 239 / 239

GCD(1, 239) = 1

GCD of 413, 350, 15, 239 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 676, 764, 73, 313
• GCD of 548, 609, 19, 869
• GCD of 452, 611, 14, 544
• GCD of 465, 349, 92, 583
• GCD of 463, 574, 28, 870

1. What is the GCD of 413, 350, 15, 239?

GCD of 413, 350, 15, 239 is 1

2. Where do I get the detailed procedure to find GCD of 413, 350, 15, 239?

You can find a detailed procedure to find GCD of 413, 350, 15, 239 on our page.

3. How to find GCD of 413, 350, 15, 239 on a calculator?

You can find the GCD of 413, 350, 15, 239 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.