GCD of 687, 264, 213, 239 Calculator

Given Input numbers are 687, 264, 213, 239

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 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 239

List of positive integer divisors of 239 that divides 239 without a remainder.

1, 239

Greatest Common Divisior

We found the divisors of 687, 264, 213, 239 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 264, 213, 239 is 1.

Therefore, GCD of numbers 687, 264, 213, 239 is 1

Given Input Data is 687, 264, 213, 239

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 213 is 3 x 71

Prime Factorization of 239 is 239

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, 264) = 60456

GCD(687, 264) = ( 687 x 264 ) / 60456

GCD(687, 264) = 181368 / 60456

GCD(687, 264) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 213

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

LCM(3, 213) = 213

GCD(3, 213) = ( 3 x 213 ) / 213

GCD(3, 213) = 639 / 213

GCD(3, 213) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 239

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

LCM(3, 239) = 717

GCD(3, 239) = ( 3 x 239 ) / 717

GCD(3, 239) = 717 / 717

GCD(3, 239) = 1

GCD of 687, 264, 213, 239 is 1

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1. What is the GCD of 687, 264, 213, 239?

GCD of 687, 264, 213, 239 is 1

2. Where do I get the detailed procedure to find GCD of 687, 264, 213, 239?

You can find a detailed procedure to find GCD of 687, 264, 213, 239 on our page.

3. How to find GCD of 687, 264, 213, 239 on a calculator?

You can find the GCD of 687, 264, 213, 239 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.