GCD of 814, 217, 508, 304 Calculator

Given Input numbers are 814, 217, 508, 304

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 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 508

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

1, 2, 4, 127, 254, 508

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Greatest Common Divisior

We found the divisors of 814, 217, 508, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 217, 508, 304 is 1.

Therefore, GCD of numbers 814, 217, 508, 304 is 1

Given Input Data is 814, 217, 508, 304

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 217 is 7 x 31

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 304 is 2 x 2 x 2 x 2 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, 217) = 176638

GCD(814, 217) = ( 814 x 217 ) / 176638

GCD(814, 217) = 176638 / 176638

GCD(814, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 508

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

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

GCD(1, 508) = 508 / 508

GCD(1, 508) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 304

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

LCM(1, 304) = 304

GCD(1, 304) = ( 1 x 304 ) / 304

GCD(1, 304) = 304 / 304

GCD(1, 304) = 1

GCD of 814, 217, 508, 304 is 1

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• GCD of 104, 792, 860, 457
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1. What is the GCD of 814, 217, 508, 304?

GCD of 814, 217, 508, 304 is 1

2. Where do I get the detailed procedure to find GCD of 814, 217, 508, 304?

You can find a detailed procedure to find GCD of 814, 217, 508, 304 on our page.

3. How to find GCD of 814, 217, 508, 304 on a calculator?

You can find the GCD of 814, 217, 508, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.