GCD of 209, 543, 21, 104 Calculator

Given Input numbers are 209, 543, 21, 104

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

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Greatest Common Divisior

We found the divisors of 209, 543, 21, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 543, 21, 104 is 1.

Therefore, GCD of numbers 209, 543, 21, 104 is 1

Given Input Data is 209, 543, 21, 104

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 543 is 3 x 181

Prime Factorization of 21 is 3 x 7

Prime Factorization of 104 is 2 x 2 x 2 x 13

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(209, 543) = 113487

GCD(209, 543) = ( 209 x 543 ) / 113487

GCD(209, 543) = 113487 / 113487

GCD(209, 543) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 104

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

LCM(1, 104) = 104

GCD(1, 104) = ( 1 x 104 ) / 104

GCD(1, 104) = 104 / 104

GCD(1, 104) = 1

GCD of 209, 543, 21, 104 is 1

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1. What is the GCD of 209, 543, 21, 104?

GCD of 209, 543, 21, 104 is 1

2. Where do I get the detailed procedure to find GCD of 209, 543, 21, 104?

You can find a detailed procedure to find GCD of 209, 543, 21, 104 on our page.

3. How to find GCD of 209, 543, 21, 104 on a calculator?

You can find the GCD of 209, 543, 21, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.