GCD of 508, 107, 820, 792 Calculator

Given Input numbers are 508, 107, 820, 792

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

Divisors of 508

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

1, 2, 4, 127, 254, 508

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Greatest Common Divisior

We found the divisors of 508, 107, 820, 792 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 107, 820, 792 is 1.

Therefore, GCD of numbers 508, 107, 820, 792 is 1

Given Input Data is 508, 107, 820, 792

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

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 107 is 107

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

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(508, 107) = 54356

GCD(508, 107) = ( 508 x 107 ) / 54356

GCD(508, 107) = 54356 / 54356

GCD(508, 107) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 792

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

LCM(1, 792) = 792

GCD(1, 792) = ( 1 x 792 ) / 792

GCD(1, 792) = 792 / 792

GCD(1, 792) = 1

GCD of 508, 107, 820, 792 is 1

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1. What is the GCD of 508, 107, 820, 792?

GCD of 508, 107, 820, 792 is 1

2. Where do I get the detailed procedure to find GCD of 508, 107, 820, 792?

You can find a detailed procedure to find GCD of 508, 107, 820, 792 on our page.

3. How to find GCD of 508, 107, 820, 792 on a calculator?

You can find the GCD of 508, 107, 820, 792 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.