GCD of 693, 806, 27, 870 Calculator

Given Input numbers are 693, 806, 27, 870

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

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Greatest Common Divisior

We found the divisors of 693, 806, 27, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 806, 27, 870 is 1.

Therefore, GCD of numbers 693, 806, 27, 870 is 1

Given Input Data is 693, 806, 27, 870

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

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 870 is 2 x 3 x 5 x 29

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(693, 806) = 558558

GCD(693, 806) = ( 693 x 806 ) / 558558

GCD(693, 806) = 558558 / 558558

GCD(693, 806) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 870

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

LCM(1, 870) = 870

GCD(1, 870) = ( 1 x 870 ) / 870

GCD(1, 870) = 870 / 870

GCD(1, 870) = 1

GCD of 693, 806, 27, 870 is 1

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1. What is the GCD of 693, 806, 27, 870?

GCD of 693, 806, 27, 870 is 1

2. Where do I get the detailed procedure to find GCD of 693, 806, 27, 870?

You can find a detailed procedure to find GCD of 693, 806, 27, 870 on our page.

3. How to find GCD of 693, 806, 27, 870 on a calculator?

You can find the GCD of 693, 806, 27, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.