GCD of 905, 874, 18, 891 Calculator

Given Input numbers are 905, 874, 18, 891

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

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

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

Greatest Common Divisior

We found the divisors of 905, 874, 18, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 905, 874, 18, 891 is 1.

Therefore, GCD of numbers 905, 874, 18, 891 is 1

Given Input Data is 905, 874, 18, 891

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

Prime Factorization of 905 is 5 x 181

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 18 is 2 x 3 x 3

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

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(905, 874) = 790970

GCD(905, 874) = ( 905 x 874 ) / 790970

GCD(905, 874) = 790970 / 790970

GCD(905, 874) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 891

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

LCM(1, 891) = 891

GCD(1, 891) = ( 1 x 891 ) / 891

GCD(1, 891) = 891 / 891

GCD(1, 891) = 1

GCD of 905, 874, 18, 891 is 1

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1. What is the GCD of 905, 874, 18, 891?

GCD of 905, 874, 18, 891 is 1

2. Where do I get the detailed procedure to find GCD of 905, 874, 18, 891?

You can find a detailed procedure to find GCD of 905, 874, 18, 891 on our page.

3. How to find GCD of 905, 874, 18, 891 on a calculator?

You can find the GCD of 905, 874, 18, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.