GCD of 550, 644, 16, 491 Calculator

Given Input numbers are 550, 644, 16, 491

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

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Greatest Common Divisior

We found the divisors of 550, 644, 16, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 644, 16, 491 is 1.

Therefore, GCD of numbers 550, 644, 16, 491 is 1

Given Input Data is 550, 644, 16, 491

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

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 644 is 2 x 2 x 7 x 23

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

Prime Factorization of 491 is 491

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(550, 644) = 177100

GCD(550, 644) = ( 550 x 644 ) / 177100

GCD(550, 644) = 354200 / 177100

GCD(550, 644) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 491

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

LCM(2, 491) = 982

GCD(2, 491) = ( 2 x 491 ) / 982

GCD(2, 491) = 982 / 982

GCD(2, 491) = 1

GCD of 550, 644, 16, 491 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 782, 449, 91, 264
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• GCD of 661, 196, 27, 462
• GCD of 919, 642, 96, 939
• GCD of 232, 254, 98, 278

1. What is the GCD of 550, 644, 16, 491?

GCD of 550, 644, 16, 491 is 1

2. Where do I get the detailed procedure to find GCD of 550, 644, 16, 491?

You can find a detailed procedure to find GCD of 550, 644, 16, 491 on our page.

3. How to find GCD of 550, 644, 16, 491 on a calculator?

You can find the GCD of 550, 644, 16, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.