GCD of 45, 809, 304, 299 Calculator

Given Input numbers are 45, 809, 304, 299

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

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Greatest Common Divisior

We found the divisors of 45, 809, 304, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 809, 304, 299 is 1.

Therefore, GCD of numbers 45, 809, 304, 299 is 1

Given Input Data is 45, 809, 304, 299

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 809 is 809

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 299 is 13 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(45, 809) = 36405

GCD(45, 809) = ( 45 x 809 ) / 36405

GCD(45, 809) = 36405 / 36405

GCD(45, 809) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 304

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

LCM(1, 304) = 304

GCD(1, 304) = ( 1 x 304 ) / 304

GCD(1, 304) = 304 / 304

GCD(1, 304) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 299

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

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

GCD(1, 299) = 299 / 299

GCD(1, 299) = 1

GCD of 45, 809, 304, 299 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 91, 135, 576, 785
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• GCD of 10, 720, 764, 509
• GCD of 70, 301, 546, 509
• GCD of 27, 722, 248, 139

1. What is the GCD of 45, 809, 304, 299?

GCD of 45, 809, 304, 299 is 1

2. Where do I get the detailed procedure to find GCD of 45, 809, 304, 299?

You can find a detailed procedure to find GCD of 45, 809, 304, 299 on our page.

3. How to find GCD of 45, 809, 304, 299 on a calculator?

You can find the GCD of 45, 809, 304, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.