GCD of 686, 823, 208, 396 Calculator

Given Input numbers are 686, 823, 208, 396

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 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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

Greatest Common Divisior

We found the divisors of 686, 823, 208, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 823, 208, 396 is 1.

Therefore, GCD of numbers 686, 823, 208, 396 is 1

Given Input Data is 686, 823, 208, 396

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 823 is 823

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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

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(686, 823) = 564578

GCD(686, 823) = ( 686 x 823 ) / 564578

GCD(686, 823) = 564578 / 564578

GCD(686, 823) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 208

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

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

GCD(1, 208) = 208 / 208

GCD(1, 208) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 396

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

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

GCD(1, 396) = 396 / 396

GCD(1, 396) = 1

GCD of 686, 823, 208, 396 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 842, 559, 132, 300
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• GCD of 553, 102, 723, 334

1. What is the GCD of 686, 823, 208, 396?

GCD of 686, 823, 208, 396 is 1

2. Where do I get the detailed procedure to find GCD of 686, 823, 208, 396?

You can find a detailed procedure to find GCD of 686, 823, 208, 396 on our page.

3. How to find GCD of 686, 823, 208, 396 on a calculator?

You can find the GCD of 686, 823, 208, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.