GCD of 516, 774, 389, 835 Calculator

Given Input numbers are 516, 774, 389, 835

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

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Divisors of 835

List of positive integer divisors of 835 that divides 835 without a remainder.

1, 5, 167, 835

Greatest Common Divisior

We found the divisors of 516, 774, 389, 835 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 774, 389, 835 is 1.

Therefore, GCD of numbers 516, 774, 389, 835 is 1

Given Input Data is 516, 774, 389, 835

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

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 389 is 389

Prime Factorization of 835 is 5 x 167

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(516, 774) = 1548

GCD(516, 774) = ( 516 x 774 ) / 1548

GCD(516, 774) = 399384 / 1548

GCD(516, 774) = 258

Step2:

Here we consider the GCD from the above i.e. 258 as first number and the next as 389

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

LCM(258, 389) = 100362

GCD(258, 389) = ( 258 x 389 ) / 100362

GCD(258, 389) = 100362 / 100362

GCD(258, 389) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 835

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

LCM(1, 835) = 835

GCD(1, 835) = ( 1 x 835 ) / 835

GCD(1, 835) = 835 / 835

GCD(1, 835) = 1

GCD of 516, 774, 389, 835 is 1

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1. What is the GCD of 516, 774, 389, 835?

GCD of 516, 774, 389, 835 is 1

2. Where do I get the detailed procedure to find GCD of 516, 774, 389, 835?

You can find a detailed procedure to find GCD of 516, 774, 389, 835 on our page.

3. How to find GCD of 516, 774, 389, 835 on a calculator?

You can find the GCD of 516, 774, 389, 835 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.