GCD of 14, 809, 200, 763 Calculator

Given Input numbers are 14, 809, 200, 763

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

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 809

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

1, 809

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 763

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

1, 7, 109, 763

Greatest Common Divisior

We found the divisors of 14, 809, 200, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 809, 200, 763 is 1.

Therefore, GCD of numbers 14, 809, 200, 763 is 1

Given Input Data is 14, 809, 200, 763

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 809 is 809

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 763 is 7 x 109

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(14, 809) = 11326

GCD(14, 809) = ( 14 x 809 ) / 11326

GCD(14, 809) = 11326 / 11326

GCD(14, 809) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 763

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

LCM(1, 763) = 763

GCD(1, 763) = ( 1 x 763 ) / 763

GCD(1, 763) = 763 / 763

GCD(1, 763) = 1

GCD of 14, 809, 200, 763 is 1

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1. What is the GCD of 14, 809, 200, 763?

GCD of 14, 809, 200, 763 is 1

2. Where do I get the detailed procedure to find GCD of 14, 809, 200, 763?

You can find a detailed procedure to find GCD of 14, 809, 200, 763 on our page.

3. How to find GCD of 14, 809, 200, 763 on a calculator?

You can find the GCD of 14, 809, 200, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.