GCD of 342, 299, 104, 800 Calculator

Given Input numbers are 342, 299, 104, 800

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Greatest Common Divisior

We found the divisors of 342, 299, 104, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 299, 104, 800 is 1.

Therefore, GCD of numbers 342, 299, 104, 800 is 1

Given Input Data is 342, 299, 104, 800

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 299 is 13 x 23

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

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(342, 299) = 102258

GCD(342, 299) = ( 342 x 299 ) / 102258

GCD(342, 299) = 102258 / 102258

GCD(342, 299) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 104

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

LCM(1, 104) = 104

GCD(1, 104) = ( 1 x 104 ) / 104

GCD(1, 104) = 104 / 104

GCD(1, 104) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

GCD of 342, 299, 104, 800 is 1

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1. What is the GCD of 342, 299, 104, 800?

GCD of 342, 299, 104, 800 is 1

2. Where do I get the detailed procedure to find GCD of 342, 299, 104, 800?

You can find a detailed procedure to find GCD of 342, 299, 104, 800 on our page.

3. How to find GCD of 342, 299, 104, 800 on a calculator?

You can find the GCD of 342, 299, 104, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.