GCD of 180, 817, 957, 808 Calculator

Given Input numbers are 180, 817, 957, 808

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

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 817

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

1, 19, 43, 817

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Greatest Common Divisior

We found the divisors of 180, 817, 957, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 817, 957, 808 is 1.

Therefore, GCD of numbers 180, 817, 957, 808 is 1

Given Input Data is 180, 817, 957, 808

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 817 is 19 x 43

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 808 is 2 x 2 x 2 x 101

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(180, 817) = 147060

GCD(180, 817) = ( 180 x 817 ) / 147060

GCD(180, 817) = 147060 / 147060

GCD(180, 817) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 957

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

LCM(1, 957) = 957

GCD(1, 957) = ( 1 x 957 ) / 957

GCD(1, 957) = 957 / 957

GCD(1, 957) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 808

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

LCM(1, 808) = 808

GCD(1, 808) = ( 1 x 808 ) / 808

GCD(1, 808) = 808 / 808

GCD(1, 808) = 1

GCD of 180, 817, 957, 808 is 1

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1. What is the GCD of 180, 817, 957, 808?

GCD of 180, 817, 957, 808 is 1

2. Where do I get the detailed procedure to find GCD of 180, 817, 957, 808?

You can find a detailed procedure to find GCD of 180, 817, 957, 808 on our page.

3. How to find GCD of 180, 817, 957, 808 on a calculator?

You can find the GCD of 180, 817, 957, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.