GCD of 520, 750, 685, 819 Calculator

Given Input numbers are 520, 750, 685, 819

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

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Greatest Common Divisior

We found the divisors of 520, 750, 685, 819 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 750, 685, 819 is 1.

Therefore, GCD of numbers 520, 750, 685, 819 is 1

Given Input Data is 520, 750, 685, 819

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

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 685 is 5 x 137

Prime Factorization of 819 is 3 x 3 x 7 x 13

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(520, 750) = 39000

GCD(520, 750) = ( 520 x 750 ) / 39000

GCD(520, 750) = 390000 / 39000

GCD(520, 750) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 685

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

LCM(10, 685) = 1370

GCD(10, 685) = ( 10 x 685 ) / 1370

GCD(10, 685) = 6850 / 1370

GCD(10, 685) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 819

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

LCM(5, 819) = 4095

GCD(5, 819) = ( 5 x 819 ) / 4095

GCD(5, 819) = 4095 / 4095

GCD(5, 819) = 1

GCD of 520, 750, 685, 819 is 1

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1. What is the GCD of 520, 750, 685, 819?

GCD of 520, 750, 685, 819 is 1

2. Where do I get the detailed procedure to find GCD of 520, 750, 685, 819?

You can find a detailed procedure to find GCD of 520, 750, 685, 819 on our page.

3. How to find GCD of 520, 750, 685, 819 on a calculator?

You can find the GCD of 520, 750, 685, 819 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.