GCD of 390, 516, 87, 570 Calculator

Given Input numbers are 390, 516, 87, 570

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

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 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

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

Greatest Common Divisior

We found the divisors of 390, 516, 87, 570 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 516, 87, 570 is 3.

Therefore, GCD of numbers 390, 516, 87, 570 is 3

Given Input Data is 390, 516, 87, 570

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

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

Prime Factorization of 87 is 3 x 29

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

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(390, 516) = 33540

GCD(390, 516) = ( 390 x 516 ) / 33540

GCD(390, 516) = 201240 / 33540

GCD(390, 516) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 87

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

LCM(6, 87) = 174

GCD(6, 87) = ( 6 x 87 ) / 174

GCD(6, 87) = 522 / 174

GCD(6, 87) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 570

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

LCM(3, 570) = 570

GCD(3, 570) = ( 3 x 570 ) / 570

GCD(3, 570) = 1710 / 570

GCD(3, 570) = 3

GCD of 390, 516, 87, 570 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 194, 450, 86, 725
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• GCD of 477, 974, 76, 531

1. What is the GCD of 390, 516, 87, 570?

GCD of 390, 516, 87, 570 is 3

2. Where do I get the detailed procedure to find GCD of 390, 516, 87, 570?

You can find a detailed procedure to find GCD of 390, 516, 87, 570 on our page.

3. How to find GCD of 390, 516, 87, 570 on a calculator?

You can find the GCD of 390, 516, 87, 570 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.