GCD of 494, 982, 646, 456 Calculator

Given Input numbers are 494, 982, 646, 456

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 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Greatest Common Divisior

We found the divisors of 494, 982, 646, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 982, 646, 456 is 2.

Therefore, GCD of numbers 494, 982, 646, 456 is 2

Given Input Data is 494, 982, 646, 456

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 982 is 2 x 491

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

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, 982) = 242554

GCD(494, 982) = ( 494 x 982 ) / 242554

GCD(494, 982) = 485108 / 242554

GCD(494, 982) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 646

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

LCM(2, 646) = 646

GCD(2, 646) = ( 2 x 646 ) / 646

GCD(2, 646) = 1292 / 646

GCD(2, 646) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 456

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

LCM(2, 456) = 456

GCD(2, 456) = ( 2 x 456 ) / 456

GCD(2, 456) = 912 / 456

GCD(2, 456) = 2

GCD of 494, 982, 646, 456 is 2

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1. What is the GCD of 494, 982, 646, 456?

GCD of 494, 982, 646, 456 is 2

2. Where do I get the detailed procedure to find GCD of 494, 982, 646, 456?

You can find a detailed procedure to find GCD of 494, 982, 646, 456 on our page.

3. How to find GCD of 494, 982, 646, 456 on a calculator?

You can find the GCD of 494, 982, 646, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.