GCD of 909, 529, 42, 928 Calculator

Given Input numbers are 909, 529, 42, 928

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

Divisors of 909

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

1, 3, 9, 101, 303, 909

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Greatest Common Divisior

We found the divisors of 909, 529, 42, 928 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 529, 42, 928 is 1.

Therefore, GCD of numbers 909, 529, 42, 928 is 1

Given Input Data is 909, 529, 42, 928

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

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 529 is 23 x 23

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

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(909, 529) = 480861

GCD(909, 529) = ( 909 x 529 ) / 480861

GCD(909, 529) = 480861 / 480861

GCD(909, 529) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 928

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

LCM(1, 928) = 928

GCD(1, 928) = ( 1 x 928 ) / 928

GCD(1, 928) = 928 / 928

GCD(1, 928) = 1

GCD of 909, 529, 42, 928 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 711, 698, 83, 542
• GCD of 898, 307, 86, 312
• GCD of 844, 505, 38, 885
• GCD of 301, 507, 47, 622
• GCD of 665, 451, 84, 342

1. What is the GCD of 909, 529, 42, 928?

GCD of 909, 529, 42, 928 is 1

2. Where do I get the detailed procedure to find GCD of 909, 529, 42, 928?

You can find a detailed procedure to find GCD of 909, 529, 42, 928 on our page.

3. How to find GCD of 909, 529, 42, 928 on a calculator?

You can find the GCD of 909, 529, 42, 928 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.