GCD of 522, 579, 16, 968 Calculator

Given Input numbers are 522, 579, 16, 968

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 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Greatest Common Divisior

We found the divisors of 522, 579, 16, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 579, 16, 968 is 1.

Therefore, GCD of numbers 522, 579, 16, 968 is 1

Given Input Data is 522, 579, 16, 968

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 579 is 3 x 193

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

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, 579) = 100746

GCD(522, 579) = ( 522 x 579 ) / 100746

GCD(522, 579) = 302238 / 100746

GCD(522, 579) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 16

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

LCM(3, 16) = 48

GCD(3, 16) = ( 3 x 16 ) / 48

GCD(3, 16) = 48 / 48

GCD(3, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 968

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

LCM(1, 968) = 968

GCD(1, 968) = ( 1 x 968 ) / 968

GCD(1, 968) = 968 / 968

GCD(1, 968) = 1

GCD of 522, 579, 16, 968 is 1

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1. What is the GCD of 522, 579, 16, 968?

GCD of 522, 579, 16, 968 is 1

2. Where do I get the detailed procedure to find GCD of 522, 579, 16, 968?

You can find a detailed procedure to find GCD of 522, 579, 16, 968 on our page.

3. How to find GCD of 522, 579, 16, 968 on a calculator?

You can find the GCD of 522, 579, 16, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.