GCD of 824, 395, 218 Calculator

Given Input numbers are 824, 395, 218

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

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 824, 395, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 395, 218 is 1.

Therefore, GCD of numbers 824, 395, 218 is 1

Given Input Data is 824, 395, 218

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 395 is 5 x 79

Prime Factorization of 218 is 2 x 109

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(824, 395) = 325480

GCD(824, 395) = ( 824 x 395 ) / 325480

GCD(824, 395) = 325480 / 325480

GCD(824, 395) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

GCD of 824, 395, 218 is 1

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1. What is the GCD of 824, 395, 218?

GCD of 824, 395, 218 is 1

2. Where do I get the detailed procedure to find GCD of 824, 395, 218?

You can find a detailed procedure to find GCD of 824, 395, 218 on our page.

3. How to find GCD of 824, 395, 218 on a calculator?

You can find the GCD of 824, 395, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.