GCD of 505, 425, 472 Calculator

Given Input numbers are 505, 425, 472

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

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Greatest Common Divisior

We found the divisors of 505, 425, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 425, 472 is 1.

Therefore, GCD of numbers 505, 425, 472 is 1

Given Input Data is 505, 425, 472

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 425 is 5 x 5 x 17

Prime Factorization of 472 is 2 x 2 x 2 x 59

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(505, 425) = 42925

GCD(505, 425) = ( 505 x 425 ) / 42925

GCD(505, 425) = 214625 / 42925

GCD(505, 425) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 472

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

LCM(5, 472) = 2360

GCD(5, 472) = ( 5 x 472 ) / 2360

GCD(5, 472) = 2360 / 2360

GCD(5, 472) = 1

GCD of 505, 425, 472 is 1

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1. What is the GCD of 505, 425, 472?

GCD of 505, 425, 472 is 1

2. Where do I get the detailed procedure to find GCD of 505, 425, 472?

You can find a detailed procedure to find GCD of 505, 425, 472 on our page.

3. How to find GCD of 505, 425, 472 on a calculator?

You can find the GCD of 505, 425, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.