GCD of 988, 808, 316, 219 Calculator

Given Input numbers are 988, 808, 316, 219

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

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 808

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

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

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Greatest Common Divisior

We found the divisors of 988, 808, 316, 219 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 988, 808, 316, 219 is 1.

Therefore, GCD of numbers 988, 808, 316, 219 is 1

Given Input Data is 988, 808, 316, 219

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

Prime Factorization of 988 is 2 x 2 x 13 x 19

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

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 219 is 3 x 73

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(988, 808) = 199576

GCD(988, 808) = ( 988 x 808 ) / 199576

GCD(988, 808) = 798304 / 199576

GCD(988, 808) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 316

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

LCM(4, 316) = 316

GCD(4, 316) = ( 4 x 316 ) / 316

GCD(4, 316) = 1264 / 316

GCD(4, 316) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 219

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

LCM(4, 219) = 876

GCD(4, 219) = ( 4 x 219 ) / 876

GCD(4, 219) = 876 / 876

GCD(4, 219) = 1

GCD of 988, 808, 316, 219 is 1

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1. What is the GCD of 988, 808, 316, 219?

GCD of 988, 808, 316, 219 is 1

2. Where do I get the detailed procedure to find GCD of 988, 808, 316, 219?

You can find a detailed procedure to find GCD of 988, 808, 316, 219 on our page.

3. How to find GCD of 988, 808, 316, 219 on a calculator?

You can find the GCD of 988, 808, 316, 219 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.