GCD of 805, 616, 381, 449 Calculator

Given Input numbers are 805, 616, 381, 449

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

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Greatest Common Divisior

We found the divisors of 805, 616, 381, 449 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 805, 616, 381, 449 is 1.

Therefore, GCD of numbers 805, 616, 381, 449 is 1

Given Input Data is 805, 616, 381, 449

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

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 381 is 3 x 127

Prime Factorization of 449 is 449

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(805, 616) = 70840

GCD(805, 616) = ( 805 x 616 ) / 70840

GCD(805, 616) = 495880 / 70840

GCD(805, 616) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 381

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

LCM(7, 381) = 2667

GCD(7, 381) = ( 7 x 381 ) / 2667

GCD(7, 381) = 2667 / 2667

GCD(7, 381) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 449

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

LCM(1, 449) = 449

GCD(1, 449) = ( 1 x 449 ) / 449

GCD(1, 449) = 449 / 449

GCD(1, 449) = 1

GCD of 805, 616, 381, 449 is 1

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• GCD of 472, 162, 354, 240
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1. What is the GCD of 805, 616, 381, 449?

GCD of 805, 616, 381, 449 is 1

2. Where do I get the detailed procedure to find GCD of 805, 616, 381, 449?

You can find a detailed procedure to find GCD of 805, 616, 381, 449 on our page.

3. How to find GCD of 805, 616, 381, 449 on a calculator?

You can find the GCD of 805, 616, 381, 449 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.