GCD of 891, 255, 87, 872 Calculator

Given Input numbers are 891, 255, 87, 872

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

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 891, 255, 87, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 891, 255, 87, 872 is 1.

Therefore, GCD of numbers 891, 255, 87, 872 is 1

Given Input Data is 891, 255, 87, 872

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

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 87 is 3 x 29

Prime Factorization of 872 is 2 x 2 x 2 x 109

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(891, 255) = 75735

GCD(891, 255) = ( 891 x 255 ) / 75735

GCD(891, 255) = 227205 / 75735

GCD(891, 255) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 87

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

LCM(3, 87) = 87

GCD(3, 87) = ( 3 x 87 ) / 87

GCD(3, 87) = 261 / 87

GCD(3, 87) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 872

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

LCM(3, 872) = 2616

GCD(3, 872) = ( 3 x 872 ) / 2616

GCD(3, 872) = 2616 / 2616

GCD(3, 872) = 1

GCD of 891, 255, 87, 872 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 267, 910, 88, 483
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• GCD of 225, 772, 41, 673
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1. What is the GCD of 891, 255, 87, 872?

GCD of 891, 255, 87, 872 is 1

2. Where do I get the detailed procedure to find GCD of 891, 255, 87, 872?

You can find a detailed procedure to find GCD of 891, 255, 87, 872 on our page.

3. How to find GCD of 891, 255, 87, 872 on a calculator?

You can find the GCD of 891, 255, 87, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.