GCD of 522, 988, 510 Calculator

Given Input numbers are 522, 988, 510

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 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Greatest Common Divisior

We found the divisors of 522, 988, 510 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 988, 510 is 2.

Therefore, GCD of numbers 522, 988, 510 is 2

Given Input Data is 522, 988, 510

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 988 is 2 x 2 x 13 x 19

Prime Factorization of 510 is 2 x 3 x 5 x 17

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, 988) = 257868

GCD(522, 988) = ( 522 x 988 ) / 257868

GCD(522, 988) = 515736 / 257868

GCD(522, 988) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 510

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

LCM(2, 510) = 510

GCD(2, 510) = ( 2 x 510 ) / 510

GCD(2, 510) = 1020 / 510

GCD(2, 510) = 2

GCD of 522, 988, 510 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 472, 940, 452
• GCD of 301, 477, 250
• GCD of 403, 906, 104
• GCD of 610, 110, 750
• GCD of 369, 694, 860

1. What is the GCD of 522, 988, 510?

GCD of 522, 988, 510 is 2

2. Where do I get the detailed procedure to find GCD of 522, 988, 510?

You can find a detailed procedure to find GCD of 522, 988, 510 on our page.

3. How to find GCD of 522, 988, 510 on a calculator?

You can find the GCD of 522, 988, 510 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.