GCD of 522, 706, 32, 584 Calculator

Given Input numbers are 522, 706, 32, 584

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 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Greatest Common Divisior

We found the divisors of 522, 706, 32, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 706, 32, 584 is 2.

Therefore, GCD of numbers 522, 706, 32, 584 is 2

Given Input Data is 522, 706, 32, 584

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 706 is 2 x 353

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 584 is 2 x 2 x 2 x 73

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 706) = 184266

GCD(522, 706) = ( 522 x 706 ) / 184266

GCD(522, 706) = 368532 / 184266

GCD(522, 706) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 32

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

LCM(2, 32) = 32

GCD(2, 32) = ( 2 x 32 ) / 32

GCD(2, 32) = 64 / 32

GCD(2, 32) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 584

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

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

GCD(2, 584) = 1168 / 584

GCD(2, 584) = 2

GCD of 522, 706, 32, 584 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 457, 180, 81, 558
• GCD of 207, 866, 86, 283
• GCD of 964, 159, 35, 142
• GCD of 858, 387, 35, 211
• GCD of 732, 105, 25, 259

1. What is the GCD of 522, 706, 32, 584?

GCD of 522, 706, 32, 584 is 2

2. Where do I get the detailed procedure to find GCD of 522, 706, 32, 584?

You can find a detailed procedure to find GCD of 522, 706, 32, 584 on our page.

3. How to find GCD of 522, 706, 32, 584 on a calculator?

You can find the GCD of 522, 706, 32, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.