GCD of 422, 457, 509, 909 Calculator

Given Input numbers are 422, 457, 509, 909

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

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Greatest Common Divisior

We found the divisors of 422, 457, 509, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 457, 509, 909 is 1.

Therefore, GCD of numbers 422, 457, 509, 909 is 1

Given Input Data is 422, 457, 509, 909

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 457 is 457

Prime Factorization of 509 is 509

Prime Factorization of 909 is 3 x 3 x 101

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(422, 457) = 192854

GCD(422, 457) = ( 422 x 457 ) / 192854

GCD(422, 457) = 192854 / 192854

GCD(422, 457) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 909

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

LCM(1, 909) = 909

GCD(1, 909) = ( 1 x 909 ) / 909

GCD(1, 909) = 909 / 909

GCD(1, 909) = 1

GCD of 422, 457, 509, 909 is 1

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• GCD of 267, 750, 301, 945
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• GCD of 242, 767, 722, 420

1. What is the GCD of 422, 457, 509, 909?

GCD of 422, 457, 509, 909 is 1

2. Where do I get the detailed procedure to find GCD of 422, 457, 509, 909?

You can find a detailed procedure to find GCD of 422, 457, 509, 909 on our page.

3. How to find GCD of 422, 457, 509, 909 on a calculator?

You can find the GCD of 422, 457, 509, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.