GCD of 225, 771, 470 Calculator

Given Input numbers are 225, 771, 470

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 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

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 225, 771, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 771, 470 is 1.

Therefore, GCD of numbers 225, 771, 470 is 1

Given Input Data is 225, 771, 470

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 771 is 3 x 257

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(225, 771) = 57825

GCD(225, 771) = ( 225 x 771 ) / 57825

GCD(225, 771) = 173475 / 57825

GCD(225, 771) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 470

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

LCM(3, 470) = 1410

GCD(3, 470) = ( 3 x 470 ) / 1410

GCD(3, 470) = 1410 / 1410

GCD(3, 470) = 1

GCD of 225, 771, 470 is 1

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1. What is the GCD of 225, 771, 470?

GCD of 225, 771, 470 is 1

2. Where do I get the detailed procedure to find GCD of 225, 771, 470?

You can find a detailed procedure to find GCD of 225, 771, 470 on our page.

3. How to find GCD of 225, 771, 470 on a calculator?

You can find the GCD of 225, 771, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.