GCD of 561, 342, 16, 584 Calculator

Given Input numbers are 561, 342, 16, 584

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

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 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Greatest Common Divisior

We found the divisors of 561, 342, 16, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 342, 16, 584 is 1.

Therefore, GCD of numbers 561, 342, 16, 584 is 1

Given Input Data is 561, 342, 16, 584

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

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 342 is 2 x 3 x 3 x 19

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

Prime Factorization of 584 is 2 x 2 x 2 x 73

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(561, 342) = 63954

GCD(561, 342) = ( 561 x 342 ) / 63954

GCD(561, 342) = 191862 / 63954

GCD(561, 342) = 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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 584

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

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

GCD(1, 584) = 584 / 584

GCD(1, 584) = 1

GCD of 561, 342, 16, 584 is 1

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1. What is the GCD of 561, 342, 16, 584?

GCD of 561, 342, 16, 584 is 1

2. Where do I get the detailed procedure to find GCD of 561, 342, 16, 584?

You can find a detailed procedure to find GCD of 561, 342, 16, 584 on our page.

3. How to find GCD of 561, 342, 16, 584 on a calculator?

You can find the GCD of 561, 342, 16, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.