GCD of 812, 859, 816, 174 Calculator

Given Input numbers are 812, 859, 816, 174

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

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 174

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

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

Greatest Common Divisior

We found the divisors of 812, 859, 816, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 812, 859, 816, 174 is 1.

Therefore, GCD of numbers 812, 859, 816, 174 is 1

Given Input Data is 812, 859, 816, 174

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

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 859 is 859

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 174 is 2 x 3 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(812, 859) = 697508

GCD(812, 859) = ( 812 x 859 ) / 697508

GCD(812, 859) = 697508 / 697508

GCD(812, 859) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 816

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

LCM(1, 816) = 816

GCD(1, 816) = ( 1 x 816 ) / 816

GCD(1, 816) = 816 / 816

GCD(1, 816) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 174

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

LCM(1, 174) = 174

GCD(1, 174) = ( 1 x 174 ) / 174

GCD(1, 174) = 174 / 174

GCD(1, 174) = 1

GCD of 812, 859, 816, 174 is 1

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1. What is the GCD of 812, 859, 816, 174?

GCD of 812, 859, 816, 174 is 1

2. Where do I get the detailed procedure to find GCD of 812, 859, 816, 174?

You can find a detailed procedure to find GCD of 812, 859, 816, 174 on our page.

3. How to find GCD of 812, 859, 816, 174 on a calculator?

You can find the GCD of 812, 859, 816, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.