GCD of 814, 849, 86, 394 Calculator

Given Input numbers are 814, 849, 86, 394

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Greatest Common Divisior

We found the divisors of 814, 849, 86, 394 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 849, 86, 394 is 1.

Therefore, GCD of numbers 814, 849, 86, 394 is 1

Given Input Data is 814, 849, 86, 394

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 849 is 3 x 283

Prime Factorization of 86 is 2 x 43

Prime Factorization of 394 is 2 x 197

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(814, 849) = 691086

GCD(814, 849) = ( 814 x 849 ) / 691086

GCD(814, 849) = 691086 / 691086

GCD(814, 849) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 86

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

LCM(1, 86) = 86

GCD(1, 86) = ( 1 x 86 ) / 86

GCD(1, 86) = 86 / 86

GCD(1, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 394

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

LCM(1, 394) = 394

GCD(1, 394) = ( 1 x 394 ) / 394

GCD(1, 394) = 394 / 394

GCD(1, 394) = 1

GCD of 814, 849, 86, 394 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 721, 790, 29, 100
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1. What is the GCD of 814, 849, 86, 394?

GCD of 814, 849, 86, 394 is 1

2. Where do I get the detailed procedure to find GCD of 814, 849, 86, 394?

You can find a detailed procedure to find GCD of 814, 849, 86, 394 on our page.

3. How to find GCD of 814, 849, 86, 394 on a calculator?

You can find the GCD of 814, 849, 86, 394 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.