GCD of 891, 269, 225, 470 Calculator

Given Input numbers are 891, 269, 225, 470

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 269

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

1, 269

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 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Greatest Common Divisior

We found the divisors of 891, 269, 225, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 891, 269, 225, 470 is 1.

Therefore, GCD of numbers 891, 269, 225, 470 is 1

Given Input Data is 891, 269, 225, 470

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 269 is 269

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

Prime Factorization of 470 is 2 x 5 x 47

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, 269) = 239679

GCD(891, 269) = ( 891 x 269 ) / 239679

GCD(891, 269) = 239679 / 239679

GCD(891, 269) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 225

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

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

GCD(1, 225) = 225 / 225

GCD(1, 225) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 470

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

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

GCD(1, 470) = 470 / 470

GCD(1, 470) = 1

GCD of 891, 269, 225, 470 is 1

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1. What is the GCD of 891, 269, 225, 470?

GCD of 891, 269, 225, 470 is 1

2. Where do I get the detailed procedure to find GCD of 891, 269, 225, 470?

You can find a detailed procedure to find GCD of 891, 269, 225, 470 on our page.

3. How to find GCD of 891, 269, 225, 470 on a calculator?

You can find the GCD of 891, 269, 225, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.