GCD of 808, 476, 865, 349 Calculator

Given Input numbers are 808, 476, 865, 349

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

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

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 808, 476, 865, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 476, 865, 349 is 1.

Therefore, GCD of numbers 808, 476, 865, 349 is 1

Given Input Data is 808, 476, 865, 349

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

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 865 is 5 x 173

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(808, 476) = 96152

GCD(808, 476) = ( 808 x 476 ) / 96152

GCD(808, 476) = 384608 / 96152

GCD(808, 476) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 865

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

LCM(4, 865) = 3460

GCD(4, 865) = ( 4 x 865 ) / 3460

GCD(4, 865) = 3460 / 3460

GCD(4, 865) = 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 808, 476, 865, 349 is 1

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1. What is the GCD of 808, 476, 865, 349?

GCD of 808, 476, 865, 349 is 1

2. Where do I get the detailed procedure to find GCD of 808, 476, 865, 349?

You can find a detailed procedure to find GCD of 808, 476, 865, 349 on our page.

3. How to find GCD of 808, 476, 865, 349 on a calculator?

You can find the GCD of 808, 476, 865, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.