GCD of 908, 648, 699, 104 Calculator

Given Input numbers are 908, 648, 699, 104

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

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

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 908, 648, 699, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 908, 648, 699, 104 is 1.

Therefore, GCD of numbers 908, 648, 699, 104 is 1

Given Input Data is 908, 648, 699, 104

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

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 699 is 3 x 233

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(908, 648) = 147096

GCD(908, 648) = ( 908 x 648 ) / 147096

GCD(908, 648) = 588384 / 147096

GCD(908, 648) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 699

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

LCM(4, 699) = 2796

GCD(4, 699) = ( 4 x 699 ) / 2796

GCD(4, 699) = 2796 / 2796

GCD(4, 699) = 1

Step3:

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

GCD of 908, 648, 699, 104 is 1

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1. What is the GCD of 908, 648, 699, 104?

GCD of 908, 648, 699, 104 is 1

2. Where do I get the detailed procedure to find GCD of 908, 648, 699, 104?

You can find a detailed procedure to find GCD of 908, 648, 699, 104 on our page.

3. How to find GCD of 908, 648, 699, 104 on a calculator?

You can find the GCD of 908, 648, 699, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.