GCD of 349, 407, 17, 855 Calculator

Given Input numbers are 349, 407, 17, 855

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

Divisors of 349

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

1, 349

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Greatest Common Divisior

We found the divisors of 349, 407, 17, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 407, 17, 855 is 1.

Therefore, GCD of numbers 349, 407, 17, 855 is 1

Given Input Data is 349, 407, 17, 855

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

Prime Factorization of 349 is 349

Prime Factorization of 407 is 11 x 37

Prime Factorization of 17 is 17

Prime Factorization of 855 is 3 x 3 x 5 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(349, 407) = 142043

GCD(349, 407) = ( 349 x 407 ) / 142043

GCD(349, 407) = 142043 / 142043

GCD(349, 407) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 855

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

LCM(1, 855) = 855

GCD(1, 855) = ( 1 x 855 ) / 855

GCD(1, 855) = 855 / 855

GCD(1, 855) = 1

GCD of 349, 407, 17, 855 is 1

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1. What is the GCD of 349, 407, 17, 855?

GCD of 349, 407, 17, 855 is 1

2. Where do I get the detailed procedure to find GCD of 349, 407, 17, 855?

You can find a detailed procedure to find GCD of 349, 407, 17, 855 on our page.

3. How to find GCD of 349, 407, 17, 855 on a calculator?

You can find the GCD of 349, 407, 17, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.