GCD of 814, 538, 830, 627 Calculator

Given Input numbers are 814, 538, 830, 627

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 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Greatest Common Divisior

We found the divisors of 814, 538, 830, 627 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 538, 830, 627 is 1.

Therefore, GCD of numbers 814, 538, 830, 627 is 1

Given Input Data is 814, 538, 830, 627

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 538 is 2 x 269

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 627 is 3 x 11 x 19

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, 538) = 218966

GCD(814, 538) = ( 814 x 538 ) / 218966

GCD(814, 538) = 437932 / 218966

GCD(814, 538) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 830

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

LCM(2, 830) = 830

GCD(2, 830) = ( 2 x 830 ) / 830

GCD(2, 830) = 1660 / 830

GCD(2, 830) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 627

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

LCM(2, 627) = 1254

GCD(2, 627) = ( 2 x 627 ) / 1254

GCD(2, 627) = 1254 / 1254

GCD(2, 627) = 1

GCD of 814, 538, 830, 627 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 800, 375, 401, 224
• GCD of 536, 626, 305, 309
• GCD of 302, 385, 299, 735
• GCD of 458, 348, 954, 875
• GCD of 224, 449, 646, 449

1. What is the GCD of 814, 538, 830, 627?

GCD of 814, 538, 830, 627 is 1

2. Where do I get the detailed procedure to find GCD of 814, 538, 830, 627?

You can find a detailed procedure to find GCD of 814, 538, 830, 627 on our page.

3. How to find GCD of 814, 538, 830, 627 on a calculator?

You can find the GCD of 814, 538, 830, 627 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.