GCD of 484, 234, 144, 994 Calculator

Given Input numbers are 484, 234, 144, 994

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

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 994

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

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

Greatest Common Divisior

We found the divisors of 484, 234, 144, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 484, 234, 144, 994 is 2.

Therefore, GCD of numbers 484, 234, 144, 994 is 2

Given Input Data is 484, 234, 144, 994

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

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 994 is 2 x 7 x 71

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(484, 234) = 56628

GCD(484, 234) = ( 484 x 234 ) / 56628

GCD(484, 234) = 113256 / 56628

GCD(484, 234) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 144

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

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

GCD(2, 144) = 288 / 144

GCD(2, 144) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 994

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

LCM(2, 994) = 994

GCD(2, 994) = ( 2 x 994 ) / 994

GCD(2, 994) = 1988 / 994

GCD(2, 994) = 2

GCD of 484, 234, 144, 994 is 2

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• GCD of 738, 400, 995, 333

1. What is the GCD of 484, 234, 144, 994?

GCD of 484, 234, 144, 994 is 2

2. Where do I get the detailed procedure to find GCD of 484, 234, 144, 994?

You can find a detailed procedure to find GCD of 484, 234, 144, 994 on our page.

3. How to find GCD of 484, 234, 144, 994 on a calculator?

You can find the GCD of 484, 234, 144, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.