GCD of 806, 702, 407 Calculator

Given Input numbers are 806, 702, 407

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 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Greatest Common Divisior

We found the divisors of 806, 702, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 806, 702, 407 is 1.

Therefore, GCD of numbers 806, 702, 407 is 1

Given Input Data is 806, 702, 407

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 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 407 is 11 x 37

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, 702) = 21762

GCD(806, 702) = ( 806 x 702 ) / 21762

GCD(806, 702) = 565812 / 21762

GCD(806, 702) = 26

Step2:

Here we consider the GCD from the above i.e. 26 as first number and the next as 407

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

LCM(26, 407) = 10582

GCD(26, 407) = ( 26 x 407 ) / 10582

GCD(26, 407) = 10582 / 10582

GCD(26, 407) = 1

GCD of 806, 702, 407 is 1

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1. What is the GCD of 806, 702, 407?

GCD of 806, 702, 407 is 1

2. Where do I get the detailed procedure to find GCD of 806, 702, 407?

You can find a detailed procedure to find GCD of 806, 702, 407 on our page.

3. How to find GCD of 806, 702, 407 on a calculator?

You can find the GCD of 806, 702, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.