GCD of 494, 418, 72, 643 Calculator

Given Input numbers are 494, 418, 72, 643

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 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

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

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Greatest Common Divisior

We found the divisors of 494, 418, 72, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 418, 72, 643 is 1.

Therefore, GCD of numbers 494, 418, 72, 643 is 1

Given Input Data is 494, 418, 72, 643

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 418 is 2 x 11 x 19

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 643 is 643

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(494, 418) = 5434

GCD(494, 418) = ( 494 x 418 ) / 5434

GCD(494, 418) = 206492 / 5434

GCD(494, 418) = 38

Step2:

Here we consider the GCD from the above i.e. 38 as first number and the next as 72

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

LCM(38, 72) = 1368

GCD(38, 72) = ( 38 x 72 ) / 1368

GCD(38, 72) = 2736 / 1368

GCD(38, 72) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 643

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

LCM(2, 643) = 1286

GCD(2, 643) = ( 2 x 643 ) / 1286

GCD(2, 643) = 1286 / 1286

GCD(2, 643) = 1

GCD of 494, 418, 72, 643 is 1

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1. What is the GCD of 494, 418, 72, 643?

GCD of 494, 418, 72, 643 is 1

2. Where do I get the detailed procedure to find GCD of 494, 418, 72, 643?

You can find a detailed procedure to find GCD of 494, 418, 72, 643 on our page.

3. How to find GCD of 494, 418, 72, 643 on a calculator?

You can find the GCD of 494, 418, 72, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.