GCD of 100, 991, 100, 806 Calculator

Given Input numbers are 100, 991, 100, 806

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

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

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

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

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Greatest Common Divisior

We found the divisors of 100, 991, 100, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 991, 100, 806 is 1.

Therefore, GCD of numbers 100, 991, 100, 806 is 1

Given Input Data is 100, 991, 100, 806

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

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

Prime Factorization of 991 is 991

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

Prime Factorization of 806 is 2 x 13 x 31

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(100, 991) = 99100

GCD(100, 991) = ( 100 x 991 ) / 99100

GCD(100, 991) = 99100 / 99100

GCD(100, 991) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 806

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

LCM(1, 806) = 806

GCD(1, 806) = ( 1 x 806 ) / 806

GCD(1, 806) = 806 / 806

GCD(1, 806) = 1

GCD of 100, 991, 100, 806 is 1

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1. What is the GCD of 100, 991, 100, 806?

GCD of 100, 991, 100, 806 is 1

2. Where do I get the detailed procedure to find GCD of 100, 991, 100, 806?

You can find a detailed procedure to find GCD of 100, 991, 100, 806 on our page.

3. How to find GCD of 100, 991, 100, 806 on a calculator?

You can find the GCD of 100, 991, 100, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.