GCD of 908, 652, 509 Calculator

Given Input numbers are 908, 652, 509

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

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 509

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

1, 509

Greatest Common Divisior

We found the divisors of 908, 652, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 908, 652, 509 is 1.

Therefore, GCD of numbers 908, 652, 509 is 1

Given Input Data is 908, 652, 509

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

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 652 is 2 x 2 x 163

Prime Factorization of 509 is 509

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(908, 652) = 148004

GCD(908, 652) = ( 908 x 652 ) / 148004

GCD(908, 652) = 592016 / 148004

GCD(908, 652) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 509

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

LCM(4, 509) = 2036

GCD(4, 509) = ( 4 x 509 ) / 2036

GCD(4, 509) = 2036 / 2036

GCD(4, 509) = 1

GCD of 908, 652, 509 is 1

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1. What is the GCD of 908, 652, 509?

GCD of 908, 652, 509 is 1

2. Where do I get the detailed procedure to find GCD of 908, 652, 509?

You can find a detailed procedure to find GCD of 908, 652, 509 on our page.

3. How to find GCD of 908, 652, 509 on a calculator?

You can find the GCD of 908, 652, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.