GCD of 689, 988, 71, 100 Calculator

Given Input numbers are 689, 988, 71, 100

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 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 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 689, 988, 71, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 988, 71, 100 is 1.

Therefore, GCD of numbers 689, 988, 71, 100 is 1

Given Input Data is 689, 988, 71, 100

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

Prime Factorization of 689 is 13 x 53

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

Prime Factorization of 71 is 71

Prime Factorization of 100 is 2 x 2 x 5 x 5

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, 988) = 52364

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

GCD(689, 988) = 680732 / 52364

GCD(689, 988) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 71

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

LCM(13, 71) = 923

GCD(13, 71) = ( 13 x 71 ) / 923

GCD(13, 71) = 923 / 923

GCD(13, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 689, 988, 71, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 809, 715, 58, 129
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• GCD of 441, 924, 19, 232

1. What is the GCD of 689, 988, 71, 100?

GCD of 689, 988, 71, 100 is 1

2. Where do I get the detailed procedure to find GCD of 689, 988, 71, 100?

You can find a detailed procedure to find GCD of 689, 988, 71, 100 on our page.

3. How to find GCD of 689, 988, 71, 100 on a calculator?

You can find the GCD of 689, 988, 71, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.