GCD of 817, 508, 30, 892 Calculator

Given Input numbers are 817, 508, 30, 892

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

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Greatest Common Divisior

We found the divisors of 817, 508, 30, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 817, 508, 30, 892 is 1.

Therefore, GCD of numbers 817, 508, 30, 892 is 1

Given Input Data is 817, 508, 30, 892

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

Prime Factorization of 817 is 19 x 43

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 892 is 2 x 2 x 223

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(817, 508) = 415036

GCD(817, 508) = ( 817 x 508 ) / 415036

GCD(817, 508) = 415036 / 415036

GCD(817, 508) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 892

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

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

GCD(1, 892) = 892 / 892

GCD(1, 892) = 1

GCD of 817, 508, 30, 892 is 1

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• GCD of 144, 409, 78, 216
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1. What is the GCD of 817, 508, 30, 892?

GCD of 817, 508, 30, 892 is 1

2. Where do I get the detailed procedure to find GCD of 817, 508, 30, 892?

You can find a detailed procedure to find GCD of 817, 508, 30, 892 on our page.

3. How to find GCD of 817, 508, 30, 892 on a calculator?

You can find the GCD of 817, 508, 30, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.