GCD of 510, 822, 195, 560 Calculator

Given Input numbers are 510, 822, 195, 560

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

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

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Greatest Common Divisior

We found the divisors of 510, 822, 195, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 822, 195, 560 is 1.

Therefore, GCD of numbers 510, 822, 195, 560 is 1

Given Input Data is 510, 822, 195, 560

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

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

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

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(510, 822) = 69870

GCD(510, 822) = ( 510 x 822 ) / 69870

GCD(510, 822) = 419220 / 69870

GCD(510, 822) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 195

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

LCM(6, 195) = 390

GCD(6, 195) = ( 6 x 195 ) / 390

GCD(6, 195) = 1170 / 390

GCD(6, 195) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 560

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

LCM(3, 560) = 1680

GCD(3, 560) = ( 3 x 560 ) / 1680

GCD(3, 560) = 1680 / 1680

GCD(3, 560) = 1

GCD of 510, 822, 195, 560 is 1

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1. What is the GCD of 510, 822, 195, 560?

GCD of 510, 822, 195, 560 is 1

2. Where do I get the detailed procedure to find GCD of 510, 822, 195, 560?

You can find a detailed procedure to find GCD of 510, 822, 195, 560 on our page.

3. How to find GCD of 510, 822, 195, 560 on a calculator?

You can find the GCD of 510, 822, 195, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.