GCD of 15, 918, 409, 349 Calculator

Given Input numbers are 15, 918, 409, 349

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

Divisors of 15

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

1, 3, 5, 15

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Greatest Common Divisior

We found the divisors of 15, 918, 409, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 918, 409, 349 is 1.

Therefore, GCD of numbers 15, 918, 409, 349 is 1

Given Input Data is 15, 918, 409, 349

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 409 is 409

Prime Factorization of 349 is 349

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(15, 918) = 4590

GCD(15, 918) = ( 15 x 918 ) / 4590

GCD(15, 918) = 13770 / 4590

GCD(15, 918) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 409

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

LCM(3, 409) = 1227

GCD(3, 409) = ( 3 x 409 ) / 1227

GCD(3, 409) = 1227 / 1227

GCD(3, 409) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 349

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

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

GCD(1, 349) = 349 / 349

GCD(1, 349) = 1

GCD of 15, 918, 409, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 25, 609, 649, 272
• GCD of 68, 122, 909, 514
• GCD of 51, 367, 936, 285
• GCD of 84, 930, 242, 555
• GCD of 18, 319, 677, 522

1. What is the GCD of 15, 918, 409, 349?

GCD of 15, 918, 409, 349 is 1

2. Where do I get the detailed procedure to find GCD of 15, 918, 409, 349?

You can find a detailed procedure to find GCD of 15, 918, 409, 349 on our page.

3. How to find GCD of 15, 918, 409, 349 on a calculator?

You can find the GCD of 15, 918, 409, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.