GCD of 687, 442, 406, 207 Calculator

Given Input numbers are 687, 442, 406, 207

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

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Greatest Common Divisior

We found the divisors of 687, 442, 406, 207 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 442, 406, 207 is 1.

Therefore, GCD of numbers 687, 442, 406, 207 is 1

Given Input Data is 687, 442, 406, 207

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 207 is 3 x 3 x 23

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(687, 442) = 303654

GCD(687, 442) = ( 687 x 442 ) / 303654

GCD(687, 442) = 303654 / 303654

GCD(687, 442) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 406

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

LCM(1, 406) = 406

GCD(1, 406) = ( 1 x 406 ) / 406

GCD(1, 406) = 406 / 406

GCD(1, 406) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 207

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

LCM(1, 207) = 207

GCD(1, 207) = ( 1 x 207 ) / 207

GCD(1, 207) = 207 / 207

GCD(1, 207) = 1

GCD of 687, 442, 406, 207 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 836, 984, 983, 905
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• GCD of 599, 202, 199, 442
• GCD of 297, 190, 243, 791
• GCD of 161, 530, 452, 631

1. What is the GCD of 687, 442, 406, 207?

GCD of 687, 442, 406, 207 is 1

2. Where do I get the detailed procedure to find GCD of 687, 442, 406, 207?

You can find a detailed procedure to find GCD of 687, 442, 406, 207 on our page.

3. How to find GCD of 687, 442, 406, 207 on a calculator?

You can find the GCD of 687, 442, 406, 207 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.