GCD of 14, 789, 988, 908 Calculator

Given Input numbers are 14, 789, 988, 908

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

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 908

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

1, 2, 4, 227, 454, 908

Greatest Common Divisior

We found the divisors of 14, 789, 988, 908 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 789, 988, 908 is 1.

Therefore, GCD of numbers 14, 789, 988, 908 is 1

Given Input Data is 14, 789, 988, 908

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 789 is 3 x 263

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 908 is 2 x 2 x 227

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(14, 789) = 11046

GCD(14, 789) = ( 14 x 789 ) / 11046

GCD(14, 789) = 11046 / 11046

GCD(14, 789) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 988

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

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

GCD(1, 988) = 988 / 988

GCD(1, 988) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 908

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

LCM(1, 908) = 908

GCD(1, 908) = ( 1 x 908 ) / 908

GCD(1, 908) = 908 / 908

GCD(1, 908) = 1

GCD of 14, 789, 988, 908 is 1

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1. What is the GCD of 14, 789, 988, 908?

GCD of 14, 789, 988, 908 is 1

2. Where do I get the detailed procedure to find GCD of 14, 789, 988, 908?

You can find a detailed procedure to find GCD of 14, 789, 988, 908 on our page.

3. How to find GCD of 14, 789, 988, 908 on a calculator?

You can find the GCD of 14, 789, 988, 908 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.