GCD of 913, 609, 644, 506 Calculator

Given Input numbers are 913, 609, 644, 506

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

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Greatest Common Divisior

We found the divisors of 913, 609, 644, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 913, 609, 644, 506 is 1.

Therefore, GCD of numbers 913, 609, 644, 506 is 1

Given Input Data is 913, 609, 644, 506

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

Prime Factorization of 913 is 11 x 83

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 506 is 2 x 11 x 23

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(913, 609) = 556017

GCD(913, 609) = ( 913 x 609 ) / 556017

GCD(913, 609) = 556017 / 556017

GCD(913, 609) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 644

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

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

GCD(1, 644) = 644 / 644

GCD(1, 644) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 506

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

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

GCD(1, 506) = 506 / 506

GCD(1, 506) = 1

GCD of 913, 609, 644, 506 is 1

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1. What is the GCD of 913, 609, 644, 506?

GCD of 913, 609, 644, 506 is 1

2. Where do I get the detailed procedure to find GCD of 913, 609, 644, 506?

You can find a detailed procedure to find GCD of 913, 609, 644, 506 on our page.

3. How to find GCD of 913, 609, 644, 506 on a calculator?

You can find the GCD of 913, 609, 644, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.