GCD of 522, 940, 306, 779 Calculator

Given Input numbers are 522, 940, 306, 779

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

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Greatest Common Divisior

We found the divisors of 522, 940, 306, 779 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 940, 306, 779 is 1.

Therefore, GCD of numbers 522, 940, 306, 779 is 1

Given Input Data is 522, 940, 306, 779

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

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 779 is 19 x 41

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(522, 940) = 245340

GCD(522, 940) = ( 522 x 940 ) / 245340

GCD(522, 940) = 490680 / 245340

GCD(522, 940) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 306

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

LCM(2, 306) = 306

GCD(2, 306) = ( 2 x 306 ) / 306

GCD(2, 306) = 612 / 306

GCD(2, 306) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 779

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

LCM(2, 779) = 1558

GCD(2, 779) = ( 2 x 779 ) / 1558

GCD(2, 779) = 1558 / 1558

GCD(2, 779) = 1

GCD of 522, 940, 306, 779 is 1

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1. What is the GCD of 522, 940, 306, 779?

GCD of 522, 940, 306, 779 is 1

2. Where do I get the detailed procedure to find GCD of 522, 940, 306, 779?

You can find a detailed procedure to find GCD of 522, 940, 306, 779 on our page.

3. How to find GCD of 522, 940, 306, 779 on a calculator?

You can find the GCD of 522, 940, 306, 779 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.