GCD of 16, 548, 419, 990 Calculator

Given Input numbers are 16, 548, 419, 990

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 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Greatest Common Divisior

We found the divisors of 16, 548, 419, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 548, 419, 990 is 1.

Therefore, GCD of numbers 16, 548, 419, 990 is 1

Given Input Data is 16, 548, 419, 990

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 548 is 2 x 2 x 137

Prime Factorization of 419 is 419

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

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, 548) = 2192

GCD(16, 548) = ( 16 x 548 ) / 2192

GCD(16, 548) = 8768 / 2192

GCD(16, 548) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 419

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

LCM(4, 419) = 1676

GCD(4, 419) = ( 4 x 419 ) / 1676

GCD(4, 419) = 1676 / 1676

GCD(4, 419) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

GCD of 16, 548, 419, 990 is 1

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• GCD of 54, 516, 380, 725
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• GCD of 42, 302, 952, 502

1. What is the GCD of 16, 548, 419, 990?

GCD of 16, 548, 419, 990 is 1

2. Where do I get the detailed procedure to find GCD of 16, 548, 419, 990?

You can find a detailed procedure to find GCD of 16, 548, 419, 990 on our page.

3. How to find GCD of 16, 548, 419, 990 on a calculator?

You can find the GCD of 16, 548, 419, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.