GCD of 687, 840, 221, 259 Calculator

Given Input numbers are 687, 840, 221, 259

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 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Greatest Common Divisior

We found the divisors of 687, 840, 221, 259 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 840, 221, 259 is 1.

Therefore, GCD of numbers 687, 840, 221, 259 is 1

Given Input Data is 687, 840, 221, 259

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 221 is 13 x 17

Prime Factorization of 259 is 7 x 37

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, 840) = 192360

GCD(687, 840) = ( 687 x 840 ) / 192360

GCD(687, 840) = 577080 / 192360

GCD(687, 840) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 221

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

LCM(3, 221) = 663

GCD(3, 221) = ( 3 x 221 ) / 663

GCD(3, 221) = 663 / 663

GCD(3, 221) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 259

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

LCM(1, 259) = 259

GCD(1, 259) = ( 1 x 259 ) / 259

GCD(1, 259) = 259 / 259

GCD(1, 259) = 1

GCD of 687, 840, 221, 259 is 1

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1. What is the GCD of 687, 840, 221, 259?

GCD of 687, 840, 221, 259 is 1

2. Where do I get the detailed procedure to find GCD of 687, 840, 221, 259?

You can find a detailed procedure to find GCD of 687, 840, 221, 259 on our page.

3. How to find GCD of 687, 840, 221, 259 on a calculator?

You can find the GCD of 687, 840, 221, 259 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.