GCD of 478, 236, 217, 225 Calculator

Given Input numbers are 478, 236, 217, 225

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

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

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 478, 236, 217, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 236, 217, 225 is 1.

Therefore, GCD of numbers 478, 236, 217, 225 is 1

Given Input Data is 478, 236, 217, 225

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

Prime Factorization of 478 is 2 x 239

Prime Factorization of 236 is 2 x 2 x 59

Prime Factorization of 217 is 7 x 31

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(478, 236) = 56404

GCD(478, 236) = ( 478 x 236 ) / 56404

GCD(478, 236) = 112808 / 56404

GCD(478, 236) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 217

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

LCM(2, 217) = 434

GCD(2, 217) = ( 2 x 217 ) / 434

GCD(2, 217) = 434 / 434

GCD(2, 217) = 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 478, 236, 217, 225 is 1

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1. What is the GCD of 478, 236, 217, 225?

GCD of 478, 236, 217, 225 is 1

2. Where do I get the detailed procedure to find GCD of 478, 236, 217, 225?

You can find a detailed procedure to find GCD of 478, 236, 217, 225 on our page.

3. How to find GCD of 478, 236, 217, 225 on a calculator?

You can find the GCD of 478, 236, 217, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.