GCD of 225, 866, 19, 874 Calculator

Given Input numbers are 225, 866, 19, 874

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

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 874

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

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

Greatest Common Divisior

We found the divisors of 225, 866, 19, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 866, 19, 874 is 1.

Therefore, GCD of numbers 225, 866, 19, 874 is 1

Given Input Data is 225, 866, 19, 874

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

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 866 is 2 x 433

Prime Factorization of 19 is 19

Prime Factorization of 874 is 2 x 19 x 23

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(225, 866) = 194850

GCD(225, 866) = ( 225 x 866 ) / 194850

GCD(225, 866) = 194850 / 194850

GCD(225, 866) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 874

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

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

GCD(1, 874) = 874 / 874

GCD(1, 874) = 1

GCD of 225, 866, 19, 874 is 1

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1. What is the GCD of 225, 866, 19, 874?

GCD of 225, 866, 19, 874 is 1

2. Where do I get the detailed procedure to find GCD of 225, 866, 19, 874?

You can find a detailed procedure to find GCD of 225, 866, 19, 874 on our page.

3. How to find GCD of 225, 866, 19, 874 on a calculator?

You can find the GCD of 225, 866, 19, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.