GCD of 348, 105, 849, 104 Calculator

Given Input numbers are 348, 105, 849, 104

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

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 104

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

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

Greatest Common Divisior

We found the divisors of 348, 105, 849, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 105, 849, 104 is 1.

Therefore, GCD of numbers 348, 105, 849, 104 is 1

Given Input Data is 348, 105, 849, 104

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 849 is 3 x 283

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

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(348, 105) = 12180

GCD(348, 105) = ( 348 x 105 ) / 12180

GCD(348, 105) = 36540 / 12180

GCD(348, 105) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 849

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

LCM(3, 849) = 849

GCD(3, 849) = ( 3 x 849 ) / 849

GCD(3, 849) = 2547 / 849

GCD(3, 849) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 104

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

LCM(3, 104) = 312

GCD(3, 104) = ( 3 x 104 ) / 312

GCD(3, 104) = 312 / 312

GCD(3, 104) = 1

GCD of 348, 105, 849, 104 is 1

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1. What is the GCD of 348, 105, 849, 104?

GCD of 348, 105, 849, 104 is 1

2. Where do I get the detailed procedure to find GCD of 348, 105, 849, 104?

You can find a detailed procedure to find GCD of 348, 105, 849, 104 on our page.

3. How to find GCD of 348, 105, 849, 104 on a calculator?

You can find the GCD of 348, 105, 849, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.