GCD of 994, 532, 305, 809 Calculator

Given Input numbers are 994, 532, 305, 809

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

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 809

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

1, 809

Greatest Common Divisior

We found the divisors of 994, 532, 305, 809 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 532, 305, 809 is 1.

Therefore, GCD of numbers 994, 532, 305, 809 is 1

Given Input Data is 994, 532, 305, 809

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

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 305 is 5 x 61

Prime Factorization of 809 is 809

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(994, 532) = 37772

GCD(994, 532) = ( 994 x 532 ) / 37772

GCD(994, 532) = 528808 / 37772

GCD(994, 532) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 305

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

LCM(14, 305) = 4270

GCD(14, 305) = ( 14 x 305 ) / 4270

GCD(14, 305) = 4270 / 4270

GCD(14, 305) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 809

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

LCM(1, 809) = 809

GCD(1, 809) = ( 1 x 809 ) / 809

GCD(1, 809) = 809 / 809

GCD(1, 809) = 1

GCD of 994, 532, 305, 809 is 1

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1. What is the GCD of 994, 532, 305, 809?

GCD of 994, 532, 305, 809 is 1

2. Where do I get the detailed procedure to find GCD of 994, 532, 305, 809?

You can find a detailed procedure to find GCD of 994, 532, 305, 809 on our page.

3. How to find GCD of 994, 532, 305, 809 on a calculator?

You can find the GCD of 994, 532, 305, 809 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.