GCD of 305, 849, 440 Calculator

Given Input numbers are 305, 849, 440

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

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Greatest Common Divisior

We found the divisors of 305, 849, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 849, 440 is 1.

Therefore, GCD of numbers 305, 849, 440 is 1

Given Input Data is 305, 849, 440

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 849 is 3 x 283

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

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(305, 849) = 258945

GCD(305, 849) = ( 305 x 849 ) / 258945

GCD(305, 849) = 258945 / 258945

GCD(305, 849) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 440

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

LCM(1, 440) = 440

GCD(1, 440) = ( 1 x 440 ) / 440

GCD(1, 440) = 440 / 440

GCD(1, 440) = 1

GCD of 305, 849, 440 is 1

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1. What is the GCD of 305, 849, 440?

GCD of 305, 849, 440 is 1

2. Where do I get the detailed procedure to find GCD of 305, 849, 440?

You can find a detailed procedure to find GCD of 305, 849, 440 on our page.

3. How to find GCD of 305, 849, 440 on a calculator?

You can find the GCD of 305, 849, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.