GCD of 682, 610, 806 Calculator

Given Input numbers are 682, 610, 806

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

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Greatest Common Divisior

We found the divisors of 682, 610, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 610, 806 is 2.

Therefore, GCD of numbers 682, 610, 806 is 2

Given Input Data is 682, 610, 806

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

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 806 is 2 x 13 x 31

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(682, 610) = 208010

GCD(682, 610) = ( 682 x 610 ) / 208010

GCD(682, 610) = 416020 / 208010

GCD(682, 610) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 806

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

LCM(2, 806) = 806

GCD(2, 806) = ( 2 x 806 ) / 806

GCD(2, 806) = 1612 / 806

GCD(2, 806) = 2

GCD of 682, 610, 806 is 2

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1. What is the GCD of 682, 610, 806?

GCD of 682, 610, 806 is 2

2. Where do I get the detailed procedure to find GCD of 682, 610, 806?

You can find a detailed procedure to find GCD of 682, 610, 806 on our page.

3. How to find GCD of 682, 610, 806 on a calculator?

You can find the GCD of 682, 610, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.