GCD of 416, 477, 838, 227 Calculator

Given Input numbers are 416, 477, 838, 227

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

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 477

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

1, 3, 9, 53, 159, 477

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Greatest Common Divisior

We found the divisors of 416, 477, 838, 227 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 477, 838, 227 is 1.

Therefore, GCD of numbers 416, 477, 838, 227 is 1

Given Input Data is 416, 477, 838, 227

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

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 838 is 2 x 419

Prime Factorization of 227 is 227

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(416, 477) = 198432

GCD(416, 477) = ( 416 x 477 ) / 198432

GCD(416, 477) = 198432 / 198432

GCD(416, 477) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 838

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

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

GCD(1, 838) = 838 / 838

GCD(1, 838) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 227

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

LCM(1, 227) = 227

GCD(1, 227) = ( 1 x 227 ) / 227

GCD(1, 227) = 227 / 227

GCD(1, 227) = 1

GCD of 416, 477, 838, 227 is 1

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1. What is the GCD of 416, 477, 838, 227?

GCD of 416, 477, 838, 227 is 1

2. Where do I get the detailed procedure to find GCD of 416, 477, 838, 227?

You can find a detailed procedure to find GCD of 416, 477, 838, 227 on our page.

3. How to find GCD of 416, 477, 838, 227 on a calculator?

You can find the GCD of 416, 477, 838, 227 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.