GCD of 805, 282, 16, 689 Calculator

Given Input numbers are 805, 282, 16, 689

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 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 805, 282, 16, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 805, 282, 16, 689 is 1.

Therefore, GCD of numbers 805, 282, 16, 689 is 1

Given Input Data is 805, 282, 16, 689

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 282 is 2 x 3 x 47

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 689 is 13 x 53

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, 282) = 227010

GCD(805, 282) = ( 805 x 282 ) / 227010

GCD(805, 282) = 227010 / 227010

GCD(805, 282) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 805, 282, 16, 689 is 1

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1. What is the GCD of 805, 282, 16, 689?

GCD of 805, 282, 16, 689 is 1

2. Where do I get the detailed procedure to find GCD of 805, 282, 16, 689?

You can find a detailed procedure to find GCD of 805, 282, 16, 689 on our page.

3. How to find GCD of 805, 282, 16, 689 on a calculator?

You can find the GCD of 805, 282, 16, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.