GCD of 318, 218, 98, 589 Calculator

Given Input numbers are 318, 218, 98, 589

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

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 218

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

1, 2, 109, 218

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Greatest Common Divisior

We found the divisors of 318, 218, 98, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 218, 98, 589 is 1.

Therefore, GCD of numbers 318, 218, 98, 589 is 1

Given Input Data is 318, 218, 98, 589

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 218 is 2 x 109

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 589 is 19 x 31

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(318, 218) = 34662

GCD(318, 218) = ( 318 x 218 ) / 34662

GCD(318, 218) = 69324 / 34662

GCD(318, 218) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 98

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

LCM(2, 98) = 98

GCD(2, 98) = ( 2 x 98 ) / 98

GCD(2, 98) = 196 / 98

GCD(2, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 589

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

LCM(2, 589) = 1178

GCD(2, 589) = ( 2 x 589 ) / 1178

GCD(2, 589) = 1178 / 1178

GCD(2, 589) = 1

GCD of 318, 218, 98, 589 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 471, 597, 54, 611
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• GCD of 629, 364, 93, 241

1. What is the GCD of 318, 218, 98, 589?

GCD of 318, 218, 98, 589 is 1

2. Where do I get the detailed procedure to find GCD of 318, 218, 98, 589?

You can find a detailed procedure to find GCD of 318, 218, 98, 589 on our page.

3. How to find GCD of 318, 218, 98, 589 on a calculator?

You can find the GCD of 318, 218, 98, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.