GCD of 846, 656, 459, 225 Calculator

Given Input numbers are 846, 656, 459, 225

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

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

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

Greatest Common Divisior

We found the divisors of 846, 656, 459, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 846, 656, 459, 225 is 1.

Therefore, GCD of numbers 846, 656, 459, 225 is 1

Given Input Data is 846, 656, 459, 225

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

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 459 is 3 x 3 x 3 x 17

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

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(846, 656) = 277488

GCD(846, 656) = ( 846 x 656 ) / 277488

GCD(846, 656) = 554976 / 277488

GCD(846, 656) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 459

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

LCM(2, 459) = 918

GCD(2, 459) = ( 2 x 459 ) / 918

GCD(2, 459) = 918 / 918

GCD(2, 459) = 1

Step3:

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

GCD of 846, 656, 459, 225 is 1

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1. What is the GCD of 846, 656, 459, 225?

GCD of 846, 656, 459, 225 is 1

2. Where do I get the detailed procedure to find GCD of 846, 656, 459, 225?

You can find a detailed procedure to find GCD of 846, 656, 459, 225 on our page.

3. How to find GCD of 846, 656, 459, 225 on a calculator?

You can find the GCD of 846, 656, 459, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.