GCD of 910, 730, 571, 822 Calculator

Given Input numbers are 910, 730, 571, 822

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

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 571

List of positive integer divisors of 571 that divides 571 without a remainder.

1, 571

Divisors of 822

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

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

Greatest Common Divisior

We found the divisors of 910, 730, 571, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 910, 730, 571, 822 is 1.

Therefore, GCD of numbers 910, 730, 571, 822 is 1

Given Input Data is 910, 730, 571, 822

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

Prime Factorization of 910 is 2 x 5 x 7 x 13

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 571 is 571

Prime Factorization of 822 is 2 x 3 x 137

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(910, 730) = 66430

GCD(910, 730) = ( 910 x 730 ) / 66430

GCD(910, 730) = 664300 / 66430

GCD(910, 730) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 571

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

LCM(10, 571) = 5710

GCD(10, 571) = ( 10 x 571 ) / 5710

GCD(10, 571) = 5710 / 5710

GCD(10, 571) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 822

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

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

GCD(1, 822) = 822 / 822

GCD(1, 822) = 1

GCD of 910, 730, 571, 822 is 1

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1. What is the GCD of 910, 730, 571, 822?

GCD of 910, 730, 571, 822 is 1

2. Where do I get the detailed procedure to find GCD of 910, 730, 571, 822?

You can find a detailed procedure to find GCD of 910, 730, 571, 822 on our page.

3. How to find GCD of 910, 730, 571, 822 on a calculator?

You can find the GCD of 910, 730, 571, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.