GCD of 686, 396, 82, 710 Calculator

Given Input numbers are 686, 396, 82, 710

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

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Greatest Common Divisior

We found the divisors of 686, 396, 82, 710 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 396, 82, 710 is 2.

Therefore, GCD of numbers 686, 396, 82, 710 is 2

Given Input Data is 686, 396, 82, 710

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

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 82 is 2 x 41

Prime Factorization of 710 is 2 x 5 x 71

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(686, 396) = 135828

GCD(686, 396) = ( 686 x 396 ) / 135828

GCD(686, 396) = 271656 / 135828

GCD(686, 396) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 82

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

LCM(2, 82) = 82

GCD(2, 82) = ( 2 x 82 ) / 82

GCD(2, 82) = 164 / 82

GCD(2, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 710

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

LCM(2, 710) = 710

GCD(2, 710) = ( 2 x 710 ) / 710

GCD(2, 710) = 1420 / 710

GCD(2, 710) = 2

GCD of 686, 396, 82, 710 is 2

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1. What is the GCD of 686, 396, 82, 710?

GCD of 686, 396, 82, 710 is 2

2. Where do I get the detailed procedure to find GCD of 686, 396, 82, 710?

You can find a detailed procedure to find GCD of 686, 396, 82, 710 on our page.

3. How to find GCD of 686, 396, 82, 710 on a calculator?

You can find the GCD of 686, 396, 82, 710 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.