GCD of 34, 904, 361, 886 Calculator

Given Input numbers are 34, 904, 361, 886

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Greatest Common Divisior

We found the divisors of 34, 904, 361, 886 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 904, 361, 886 is 1.

Therefore, GCD of numbers 34, 904, 361, 886 is 1

Given Input Data is 34, 904, 361, 886

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 361 is 19 x 19

Prime Factorization of 886 is 2 x 443

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(34, 904) = 15368

GCD(34, 904) = ( 34 x 904 ) / 15368

GCD(34, 904) = 30736 / 15368

GCD(34, 904) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 361

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

LCM(2, 361) = 722

GCD(2, 361) = ( 2 x 361 ) / 722

GCD(2, 361) = 722 / 722

GCD(2, 361) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 886

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

LCM(1, 886) = 886

GCD(1, 886) = ( 1 x 886 ) / 886

GCD(1, 886) = 886 / 886

GCD(1, 886) = 1

GCD of 34, 904, 361, 886 is 1

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1. What is the GCD of 34, 904, 361, 886?

GCD of 34, 904, 361, 886 is 1

2. Where do I get the detailed procedure to find GCD of 34, 904, 361, 886?

You can find a detailed procedure to find GCD of 34, 904, 361, 886 on our page.

3. How to find GCD of 34, 904, 361, 886 on a calculator?

You can find the GCD of 34, 904, 361, 886 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.