GCD of 917, 806, 828 Calculator

Given Input numbers are 917, 806, 828

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

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

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 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 917, 806, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 917, 806, 828 is 1.

Therefore, GCD of numbers 917, 806, 828 is 1

Given Input Data is 917, 806, 828

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

Prime Factorization of 917 is 7 x 131

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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(917, 806) = 739102

GCD(917, 806) = ( 917 x 806 ) / 739102

GCD(917, 806) = 739102 / 739102

GCD(917, 806) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 917, 806, 828 is 1

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1. What is the GCD of 917, 806, 828?

GCD of 917, 806, 828 is 1

2. Where do I get the detailed procedure to find GCD of 917, 806, 828?

You can find a detailed procedure to find GCD of 917, 806, 828 on our page.

3. How to find GCD of 917, 806, 828 on a calculator?

You can find the GCD of 917, 806, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.