GCD of 809, 763, 21, 782 Calculator

Given Input numbers are 809, 763, 21, 782

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

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 809, 763, 21, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 763, 21, 782 is 1.

Therefore, GCD of numbers 809, 763, 21, 782 is 1

Given Input Data is 809, 763, 21, 782

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

Prime Factorization of 809 is 809

Prime Factorization of 763 is 7 x 109

Prime Factorization of 21 is 3 x 7

Prime Factorization of 782 is 2 x 17 x 23

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(809, 763) = 617267

GCD(809, 763) = ( 809 x 763 ) / 617267

GCD(809, 763) = 617267 / 617267

GCD(809, 763) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 809, 763, 21, 782 is 1

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1. What is the GCD of 809, 763, 21, 782?

GCD of 809, 763, 21, 782 is 1

2. Where do I get the detailed procedure to find GCD of 809, 763, 21, 782?

You can find a detailed procedure to find GCD of 809, 763, 21, 782 on our page.

3. How to find GCD of 809, 763, 21, 782 on a calculator?

You can find the GCD of 809, 763, 21, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.