GCD of 614, 114, 998 Calculator

Given Input numbers are 614, 114, 998

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

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 998

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

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 614, 114, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 114, 998 is 2.

Therefore, GCD of numbers 614, 114, 998 is 2

Given Input Data is 614, 114, 998

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 998 is 2 x 499

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(614, 114) = 34998

GCD(614, 114) = ( 614 x 114 ) / 34998

GCD(614, 114) = 69996 / 34998

GCD(614, 114) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 998

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

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

GCD(2, 998) = 1996 / 998

GCD(2, 998) = 2

GCD of 614, 114, 998 is 2

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1. What is the GCD of 614, 114, 998?

GCD of 614, 114, 998 is 2

2. Where do I get the detailed procedure to find GCD of 614, 114, 998?

You can find a detailed procedure to find GCD of 614, 114, 998 on our page.

3. How to find GCD of 614, 114, 998 on a calculator?

You can find the GCD of 614, 114, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.