GCD of 920, 820, 756, 817 Calculator

Given Input numbers are 920, 820, 756, 817

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

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 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 817

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

1, 19, 43, 817

Greatest Common Divisior

We found the divisors of 920, 820, 756, 817 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 820, 756, 817 is 1.

Therefore, GCD of numbers 920, 820, 756, 817 is 1

Given Input Data is 920, 820, 756, 817

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

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

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 817 is 19 x 43

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(920, 820) = 37720

GCD(920, 820) = ( 920 x 820 ) / 37720

GCD(920, 820) = 754400 / 37720

GCD(920, 820) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 756

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

LCM(20, 756) = 3780

GCD(20, 756) = ( 20 x 756 ) / 3780

GCD(20, 756) = 15120 / 3780

GCD(20, 756) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 817

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

LCM(4, 817) = 3268

GCD(4, 817) = ( 4 x 817 ) / 3268

GCD(4, 817) = 3268 / 3268

GCD(4, 817) = 1

GCD of 920, 820, 756, 817 is 1

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1. What is the GCD of 920, 820, 756, 817?

GCD of 920, 820, 756, 817 is 1

2. Where do I get the detailed procedure to find GCD of 920, 820, 756, 817?

You can find a detailed procedure to find GCD of 920, 820, 756, 817 on our page.

3. How to find GCD of 920, 820, 756, 817 on a calculator?

You can find the GCD of 920, 820, 756, 817 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.