GCD of 814, 457, 180, 817 Calculator

Given Input numbers are 814, 457, 180, 817

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

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

Greatest Common Divisior

We found the divisors of 814, 457, 180, 817 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 457, 180, 817 is 1.

Therefore, GCD of numbers 814, 457, 180, 817 is 1

Given Input Data is 814, 457, 180, 817

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 457 is 457

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

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(814, 457) = 371998

GCD(814, 457) = ( 814 x 457 ) / 371998

GCD(814, 457) = 371998 / 371998

GCD(814, 457) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 817

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

LCM(1, 817) = 817

GCD(1, 817) = ( 1 x 817 ) / 817

GCD(1, 817) = 817 / 817

GCD(1, 817) = 1

GCD of 814, 457, 180, 817 is 1

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• GCD of 692, 528, 853, 792
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• GCD of 455, 167, 137, 365

1. What is the GCD of 814, 457, 180, 817?

GCD of 814, 457, 180, 817 is 1

2. Where do I get the detailed procedure to find GCD of 814, 457, 180, 817?

You can find a detailed procedure to find GCD of 814, 457, 180, 817 on our page.

3. How to find GCD of 814, 457, 180, 817 on a calculator?

You can find the GCD of 814, 457, 180, 817 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.