GCD of 717, 522, 516, 180 Calculator

Given Input numbers are 717, 522, 516, 180

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

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

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 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Greatest Common Divisior

We found the divisors of 717, 522, 516, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 717, 522, 516, 180 is 3.

Therefore, GCD of numbers 717, 522, 516, 180 is 3

Given Input Data is 717, 522, 516, 180

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

Prime Factorization of 717 is 3 x 239

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

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(717, 522) = 124758

GCD(717, 522) = ( 717 x 522 ) / 124758

GCD(717, 522) = 374274 / 124758

GCD(717, 522) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 516

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

LCM(3, 516) = 516

GCD(3, 516) = ( 3 x 516 ) / 516

GCD(3, 516) = 1548 / 516

GCD(3, 516) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 180

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

LCM(3, 180) = 180

GCD(3, 180) = ( 3 x 180 ) / 180

GCD(3, 180) = 540 / 180

GCD(3, 180) = 3

GCD of 717, 522, 516, 180 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 462, 463, 290, 990
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• GCD of 808, 834, 526, 386

1. What is the GCD of 717, 522, 516, 180?

GCD of 717, 522, 516, 180 is 3

2. Where do I get the detailed procedure to find GCD of 717, 522, 516, 180?

You can find a detailed procedure to find GCD of 717, 522, 516, 180 on our page.

3. How to find GCD of 717, 522, 516, 180 on a calculator?

You can find the GCD of 717, 522, 516, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.