GCD of 259, 217, 477 Calculator

Given Input numbers are 259, 217, 477

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

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 217

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

1, 7, 31, 217

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Greatest Common Divisior

We found the divisors of 259, 217, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 217, 477 is 1.

Therefore, GCD of numbers 259, 217, 477 is 1

Given Input Data is 259, 217, 477

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

Prime Factorization of 259 is 7 x 37

Prime Factorization of 217 is 7 x 31

Prime Factorization of 477 is 3 x 3 x 53

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(259, 217) = 8029

GCD(259, 217) = ( 259 x 217 ) / 8029

GCD(259, 217) = 56203 / 8029

GCD(259, 217) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 477

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

LCM(7, 477) = 3339

GCD(7, 477) = ( 7 x 477 ) / 3339

GCD(7, 477) = 3339 / 3339

GCD(7, 477) = 1

GCD of 259, 217, 477 is 1

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1. What is the GCD of 259, 217, 477?

GCD of 259, 217, 477 is 1

2. Where do I get the detailed procedure to find GCD of 259, 217, 477?

You can find a detailed procedure to find GCD of 259, 217, 477 on our page.

3. How to find GCD of 259, 217, 477 on a calculator?

You can find the GCD of 259, 217, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.