GCD of 522, 624, 810, 260 Calculator

Given Input numbers are 522, 624, 810, 260

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 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Greatest Common Divisior

We found the divisors of 522, 624, 810, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 624, 810, 260 is 2.

Therefore, GCD of numbers 522, 624, 810, 260 is 2

Given Input Data is 522, 624, 810, 260

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 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 260 is 2 x 2 x 5 x 13

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, 624) = 54288

GCD(522, 624) = ( 522 x 624 ) / 54288

GCD(522, 624) = 325728 / 54288

GCD(522, 624) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 810

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

LCM(6, 810) = 810

GCD(6, 810) = ( 6 x 810 ) / 810

GCD(6, 810) = 4860 / 810

GCD(6, 810) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 260

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

LCM(6, 260) = 780

GCD(6, 260) = ( 6 x 260 ) / 780

GCD(6, 260) = 1560 / 780

GCD(6, 260) = 2

GCD of 522, 624, 810, 260 is 2

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1. What is the GCD of 522, 624, 810, 260?

GCD of 522, 624, 810, 260 is 2

2. Where do I get the detailed procedure to find GCD of 522, 624, 810, 260?

You can find a detailed procedure to find GCD of 522, 624, 810, 260 on our page.

3. How to find GCD of 522, 624, 810, 260 on a calculator?

You can find the GCD of 522, 624, 810, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.