GCD of 988, 689, 418, 849 Calculator

Given Input numbers are 988, 689, 418, 849

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

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 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 849

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

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 988, 689, 418, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 988, 689, 418, 849 is 1.

Therefore, GCD of numbers 988, 689, 418, 849 is 1

Given Input Data is 988, 689, 418, 849

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

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 849 is 3 x 283

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(988, 689) = 52364

GCD(988, 689) = ( 988 x 689 ) / 52364

GCD(988, 689) = 680732 / 52364

GCD(988, 689) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 418

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

LCM(13, 418) = 5434

GCD(13, 418) = ( 13 x 418 ) / 5434

GCD(13, 418) = 5434 / 5434

GCD(13, 418) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 849

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

LCM(1, 849) = 849

GCD(1, 849) = ( 1 x 849 ) / 849

GCD(1, 849) = 849 / 849

GCD(1, 849) = 1

GCD of 988, 689, 418, 849 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 350, 606, 868, 740
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1. What is the GCD of 988, 689, 418, 849?

GCD of 988, 689, 418, 849 is 1

2. Where do I get the detailed procedure to find GCD of 988, 689, 418, 849?

You can find a detailed procedure to find GCD of 988, 689, 418, 849 on our page.

3. How to find GCD of 988, 689, 418, 849 on a calculator?

You can find the GCD of 988, 689, 418, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.