GCD of 689, 903, 99, 116 Calculator

Given Input numbers are 689, 903, 99, 116

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

Divisors of 689

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

1, 13, 53, 689

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 689, 903, 99, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 903, 99, 116 is 1.

Therefore, GCD of numbers 689, 903, 99, 116 is 1

Given Input Data is 689, 903, 99, 116

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 903 is 3 x 7 x 43

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 116 is 2 x 2 x 29

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(689, 903) = 622167

GCD(689, 903) = ( 689 x 903 ) / 622167

GCD(689, 903) = 622167 / 622167

GCD(689, 903) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

GCD of 689, 903, 99, 116 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 393, 714, 15, 619
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• GCD of 405, 511, 28, 742
• GCD of 204, 299, 75, 334
• GCD of 359, 884, 29, 674

1. What is the GCD of 689, 903, 99, 116?

GCD of 689, 903, 99, 116 is 1

2. Where do I get the detailed procedure to find GCD of 689, 903, 99, 116?

You can find a detailed procedure to find GCD of 689, 903, 99, 116 on our page.

3. How to find GCD of 689, 903, 99, 116 on a calculator?

You can find the GCD of 689, 903, 99, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.