GCD of 806, 117, 92, 338 Calculator

Given Input numbers are 806, 117, 92, 338

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 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 806, 117, 92, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 806, 117, 92, 338 is 1.

Therefore, GCD of numbers 806, 117, 92, 338 is 1

Given Input Data is 806, 117, 92, 338

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 117 is 3 x 3 x 13

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 338 is 2 x 13 x 13

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, 117) = 7254

GCD(806, 117) = ( 806 x 117 ) / 7254

GCD(806, 117) = 94302 / 7254

GCD(806, 117) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 92

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

LCM(13, 92) = 1196

GCD(13, 92) = ( 13 x 92 ) / 1196

GCD(13, 92) = 1196 / 1196

GCD(13, 92) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 806, 117, 92, 338 is 1

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• GCD of 192, 100, 98, 978
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1. What is the GCD of 806, 117, 92, 338?

GCD of 806, 117, 92, 338 is 1

2. Where do I get the detailed procedure to find GCD of 806, 117, 92, 338?

You can find a detailed procedure to find GCD of 806, 117, 92, 338 on our page.

3. How to find GCD of 806, 117, 92, 338 on a calculator?

You can find the GCD of 806, 117, 92, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.