GCD of 806, 174, 100, 849 Calculator

Given Input numbers are 806, 174, 100, 849

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

Divisors of 806

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

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

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

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 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 806, 174, 100, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 806, 174, 100, 849 is 1.

Therefore, GCD of numbers 806, 174, 100, 849 is 1

Given Input Data is 806, 174, 100, 849

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

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 174 is 2 x 3 x 29

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

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(806, 174) = 70122

GCD(806, 174) = ( 806 x 174 ) / 70122

GCD(806, 174) = 140244 / 70122

GCD(806, 174) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 100

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

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

GCD(2, 100) = 200 / 100

GCD(2, 100) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 849

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

LCM(2, 849) = 1698

GCD(2, 849) = ( 2 x 849 ) / 1698

GCD(2, 849) = 1698 / 1698

GCD(2, 849) = 1

GCD of 806, 174, 100, 849 is 1

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• GCD of 416, 955, 784, 214
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1. What is the GCD of 806, 174, 100, 849?

GCD of 806, 174, 100, 849 is 1

2. Where do I get the detailed procedure to find GCD of 806, 174, 100, 849?

You can find a detailed procedure to find GCD of 806, 174, 100, 849 on our page.

3. How to find GCD of 806, 174, 100, 849 on a calculator?

You can find the GCD of 806, 174, 100, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.