GCD of 614, 984, 404 Calculator

Given Input numbers are 614, 984, 404

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 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 614, 984, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 984, 404 is 2.

Therefore, GCD of numbers 614, 984, 404 is 2

Given Input Data is 614, 984, 404

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 404 is 2 x 2 x 101

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, 984) = 302088

GCD(614, 984) = ( 614 x 984 ) / 302088

GCD(614, 984) = 604176 / 302088

GCD(614, 984) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 404

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

LCM(2, 404) = 404

GCD(2, 404) = ( 2 x 404 ) / 404

GCD(2, 404) = 808 / 404

GCD(2, 404) = 2

GCD of 614, 984, 404 is 2

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1. What is the GCD of 614, 984, 404?

GCD of 614, 984, 404 is 2

2. Where do I get the detailed procedure to find GCD of 614, 984, 404?

You can find a detailed procedure to find GCD of 614, 984, 404 on our page.

3. How to find GCD of 614, 984, 404 on a calculator?

You can find the GCD of 614, 984, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.