GCD of 570, 960, 522 Calculator

Given Input numbers are 570, 960, 522

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

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

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

Greatest Common Divisior

We found the divisors of 570, 960, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 570, 960, 522 is 6.

Therefore, GCD of numbers 570, 960, 522 is 6

Given Input Data is 570, 960, 522

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

Prime Factorization of 570 is 2 x 3 x 5 x 19

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(570, 960) = 18240

GCD(570, 960) = ( 570 x 960 ) / 18240

GCD(570, 960) = 547200 / 18240

GCD(570, 960) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 522

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

LCM(30, 522) = 2610

GCD(30, 522) = ( 30 x 522 ) / 2610

GCD(30, 522) = 15660 / 2610

GCD(30, 522) = 6

GCD of 570, 960, 522 is 6

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• GCD of 462, 783, 255
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1. What is the GCD of 570, 960, 522?

GCD of 570, 960, 522 is 6

2. Where do I get the detailed procedure to find GCD of 570, 960, 522?

You can find a detailed procedure to find GCD of 570, 960, 522 on our page.

3. How to find GCD of 570, 960, 522 on a calculator?

You can find the GCD of 570, 960, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.