GCD of 998, 734, 665, 218 Calculator

Given Input numbers are 998, 734, 665, 218

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

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

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 998, 734, 665, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 734, 665, 218 is 1.

Therefore, GCD of numbers 998, 734, 665, 218 is 1

Given Input Data is 998, 734, 665, 218

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 734 is 2 x 367

Prime Factorization of 665 is 5 x 7 x 19

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(998, 734) = 366266

GCD(998, 734) = ( 998 x 734 ) / 366266

GCD(998, 734) = 732532 / 366266

GCD(998, 734) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 665

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

LCM(2, 665) = 1330

GCD(2, 665) = ( 2 x 665 ) / 1330

GCD(2, 665) = 1330 / 1330

GCD(2, 665) = 1

Step3:

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 998, 734, 665, 218 is 1

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• GCD of 531, 385, 634, 976
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1. What is the GCD of 998, 734, 665, 218?

GCD of 998, 734, 665, 218 is 1

2. Where do I get the detailed procedure to find GCD of 998, 734, 665, 218?

You can find a detailed procedure to find GCD of 998, 734, 665, 218 on our page.

3. How to find GCD of 998, 734, 665, 218 on a calculator?

You can find the GCD of 998, 734, 665, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.