GCD of 494, 454, 996, 344 Calculator

Given Input numbers are 494, 454, 996, 344

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

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Greatest Common Divisior

We found the divisors of 494, 454, 996, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 454, 996, 344 is 2.

Therefore, GCD of numbers 494, 454, 996, 344 is 2

Given Input Data is 494, 454, 996, 344

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

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 454 is 2 x 227

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 344 is 2 x 2 x 2 x 43

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(494, 454) = 112138

GCD(494, 454) = ( 494 x 454 ) / 112138

GCD(494, 454) = 224276 / 112138

GCD(494, 454) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 996

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

LCM(2, 996) = 996

GCD(2, 996) = ( 2 x 996 ) / 996

GCD(2, 996) = 1992 / 996

GCD(2, 996) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 344

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

LCM(2, 344) = 344

GCD(2, 344) = ( 2 x 344 ) / 344

GCD(2, 344) = 688 / 344

GCD(2, 344) = 2

GCD of 494, 454, 996, 344 is 2

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1. What is the GCD of 494, 454, 996, 344?

GCD of 494, 454, 996, 344 is 2

2. Where do I get the detailed procedure to find GCD of 494, 454, 996, 344?

You can find a detailed procedure to find GCD of 494, 454, 996, 344 on our page.

3. How to find GCD of 494, 454, 996, 344 on a calculator?

You can find the GCD of 494, 454, 996, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.