GCD of 994, 498, 81, 664 Calculator

Given Input numbers are 994, 498, 81, 664

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

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Greatest Common Divisior

We found the divisors of 994, 498, 81, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 498, 81, 664 is 1.

Therefore, GCD of numbers 994, 498, 81, 664 is 1

Given Input Data is 994, 498, 81, 664

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

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 664 is 2 x 2 x 2 x 83

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(994, 498) = 247506

GCD(994, 498) = ( 994 x 498 ) / 247506

GCD(994, 498) = 495012 / 247506

GCD(994, 498) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 81

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

LCM(2, 81) = 162

GCD(2, 81) = ( 2 x 81 ) / 162

GCD(2, 81) = 162 / 162

GCD(2, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 1

GCD of 994, 498, 81, 664 is 1

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1. What is the GCD of 994, 498, 81, 664?

GCD of 994, 498, 81, 664 is 1

2. Where do I get the detailed procedure to find GCD of 994, 498, 81, 664?

You can find a detailed procedure to find GCD of 994, 498, 81, 664 on our page.

3. How to find GCD of 994, 498, 81, 664 on a calculator?

You can find the GCD of 994, 498, 81, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.