GCD of 687, 269, 882, 487 Calculator

Given Input numbers are 687, 269, 882, 487

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 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

Greatest Common Divisior

We found the divisors of 687, 269, 882, 487 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 269, 882, 487 is 1.

Therefore, GCD of numbers 687, 269, 882, 487 is 1

Given Input Data is 687, 269, 882, 487

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 269 is 269

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 487 is 487

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, 269) = 184803

GCD(687, 269) = ( 687 x 269 ) / 184803

GCD(687, 269) = 184803 / 184803

GCD(687, 269) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 882

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

LCM(1, 882) = 882

GCD(1, 882) = ( 1 x 882 ) / 882

GCD(1, 882) = 882 / 882

GCD(1, 882) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 487

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

LCM(1, 487) = 487

GCD(1, 487) = ( 1 x 487 ) / 487

GCD(1, 487) = 487 / 487

GCD(1, 487) = 1

GCD of 687, 269, 882, 487 is 1

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1. What is the GCD of 687, 269, 882, 487?

GCD of 687, 269, 882, 487 is 1

2. Where do I get the detailed procedure to find GCD of 687, 269, 882, 487?

You can find a detailed procedure to find GCD of 687, 269, 882, 487 on our page.

3. How to find GCD of 687, 269, 882, 487 on a calculator?

You can find the GCD of 687, 269, 882, 487 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.