GCD of 809, 596, 354, 930 Calculator

Given Input numbers are 809, 596, 354, 930

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 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Greatest Common Divisior

We found the divisors of 809, 596, 354, 930 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 596, 354, 930 is 1.

Therefore, GCD of numbers 809, 596, 354, 930 is 1

Given Input Data is 809, 596, 354, 930

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

Prime Factorization of 809 is 809

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 930 is 2 x 3 x 5 x 31

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, 596) = 482164

GCD(809, 596) = ( 809 x 596 ) / 482164

GCD(809, 596) = 482164 / 482164

GCD(809, 596) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 930

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

LCM(1, 930) = 930

GCD(1, 930) = ( 1 x 930 ) / 930

GCD(1, 930) = 930 / 930

GCD(1, 930) = 1

GCD of 809, 596, 354, 930 is 1

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1. What is the GCD of 809, 596, 354, 930?

GCD of 809, 596, 354, 930 is 1

2. Where do I get the detailed procedure to find GCD of 809, 596, 354, 930?

You can find a detailed procedure to find GCD of 809, 596, 354, 930 on our page.

3. How to find GCD of 809, 596, 354, 930 on a calculator?

You can find the GCD of 809, 596, 354, 930 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.