GCD of 16, 505, 398, 643 Calculator

Given Input numbers are 16, 505, 398, 643

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

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

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 16, 505, 398, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 505, 398, 643 is 1.

Therefore, GCD of numbers 16, 505, 398, 643 is 1

Given Input Data is 16, 505, 398, 643

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 505 is 5 x 101

Prime Factorization of 398 is 2 x 199

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(16, 505) = 8080

GCD(16, 505) = ( 16 x 505 ) / 8080

GCD(16, 505) = 8080 / 8080

GCD(16, 505) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 643

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

LCM(1, 643) = 643

GCD(1, 643) = ( 1 x 643 ) / 643

GCD(1, 643) = 643 / 643

GCD(1, 643) = 1

GCD of 16, 505, 398, 643 is 1

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• GCD of 96, 337, 322, 996
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1. What is the GCD of 16, 505, 398, 643?

GCD of 16, 505, 398, 643 is 1

2. Where do I get the detailed procedure to find GCD of 16, 505, 398, 643?

You can find a detailed procedure to find GCD of 16, 505, 398, 643 on our page.

3. How to find GCD of 16, 505, 398, 643 on a calculator?

You can find the GCD of 16, 505, 398, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.