GCD of 908, 510, 844, 345 Calculator

Given Input numbers are 908, 510, 844, 345

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 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 908, 510, 844, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 908, 510, 844, 345 is 1.

Therefore, GCD of numbers 908, 510, 844, 345 is 1

Given Input Data is 908, 510, 844, 345

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 510 is 2 x 3 x 5 x 17

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 345 is 3 x 5 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(908, 510) = 231540

GCD(908, 510) = ( 908 x 510 ) / 231540

GCD(908, 510) = 463080 / 231540

GCD(908, 510) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 844

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

LCM(2, 844) = 844

GCD(2, 844) = ( 2 x 844 ) / 844

GCD(2, 844) = 1688 / 844

GCD(2, 844) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 345

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

LCM(2, 345) = 690

GCD(2, 345) = ( 2 x 345 ) / 690

GCD(2, 345) = 690 / 690

GCD(2, 345) = 1

GCD of 908, 510, 844, 345 is 1

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1. What is the GCD of 908, 510, 844, 345?

GCD of 908, 510, 844, 345 is 1

2. Where do I get the detailed procedure to find GCD of 908, 510, 844, 345?

You can find a detailed procedure to find GCD of 908, 510, 844, 345 on our page.

3. How to find GCD of 908, 510, 844, 345 on a calculator?

You can find the GCD of 908, 510, 844, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.