GCD of 529, 394, 728, 930 Calculator

Given Input numbers are 529, 394, 728, 930

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

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

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 529, 394, 728, 930 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 529, 394, 728, 930 is 1.

Therefore, GCD of numbers 529, 394, 728, 930 is 1

Given Input Data is 529, 394, 728, 930

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

Prime Factorization of 529 is 23 x 23

Prime Factorization of 394 is 2 x 197

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

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(529, 394) = 208426

GCD(529, 394) = ( 529 x 394 ) / 208426

GCD(529, 394) = 208426 / 208426

GCD(529, 394) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 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 529, 394, 728, 930 is 1

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1. What is the GCD of 529, 394, 728, 930?

GCD of 529, 394, 728, 930 is 1

2. Where do I get the detailed procedure to find GCD of 529, 394, 728, 930?

You can find a detailed procedure to find GCD of 529, 394, 728, 930 on our page.

3. How to find GCD of 529, 394, 728, 930 on a calculator?

You can find the GCD of 529, 394, 728, 930 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.