GCD of 861, 561, 16 Calculator

Given Input numbers are 861, 561, 16

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

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 16

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

1, 2, 4, 8, 16

Greatest Common Divisior

We found the divisors of 861, 561, 16 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 861, 561, 16 is 1.

Therefore, GCD of numbers 861, 561, 16 is 1

Given Input Data is 861, 561, 16

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

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 561 is 3 x 11 x 17

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

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(861, 561) = 161007

GCD(861, 561) = ( 861 x 561 ) / 161007

GCD(861, 561) = 483021 / 161007

GCD(861, 561) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 16

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

LCM(3, 16) = 48

GCD(3, 16) = ( 3 x 16 ) / 48

GCD(3, 16) = 48 / 48

GCD(3, 16) = 1

GCD of 861, 561, 16 is 1

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1. What is the GCD of 861, 561, 16?

GCD of 861, 561, 16 is 1

2. Where do I get the detailed procedure to find GCD of 861, 561, 16?

You can find a detailed procedure to find GCD of 861, 561, 16 on our page.

3. How to find GCD of 861, 561, 16 on a calculator?

You can find the GCD of 861, 561, 16 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.