GCD of 805, 299, 10, 681 Calculator

Given Input numbers are 805, 299, 10, 681

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 299

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

1, 13, 23, 299

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Greatest Common Divisior

We found the divisors of 805, 299, 10, 681 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 805, 299, 10, 681 is 1.

Therefore, GCD of numbers 805, 299, 10, 681 is 1

Given Input Data is 805, 299, 10, 681

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 299 is 13 x 23

Prime Factorization of 10 is 2 x 5

Prime Factorization of 681 is 3 x 227

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, 299) = 10465

GCD(805, 299) = ( 805 x 299 ) / 10465

GCD(805, 299) = 240695 / 10465

GCD(805, 299) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 10

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

LCM(23, 10) = 230

GCD(23, 10) = ( 23 x 10 ) / 230

GCD(23, 10) = 230 / 230

GCD(23, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 681

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

LCM(1, 681) = 681

GCD(1, 681) = ( 1 x 681 ) / 681

GCD(1, 681) = 681 / 681

GCD(1, 681) = 1

GCD of 805, 299, 10, 681 is 1

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1. What is the GCD of 805, 299, 10, 681?

GCD of 805, 299, 10, 681 is 1

2. Where do I get the detailed procedure to find GCD of 805, 299, 10, 681?

You can find a detailed procedure to find GCD of 805, 299, 10, 681 on our page.

3. How to find GCD of 805, 299, 10, 681 on a calculator?

You can find the GCD of 805, 299, 10, 681 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.