GCD of 624, 186, 209, 104 Calculator

Given Input numbers are 624, 186, 209, 104

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

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 209

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

1, 11, 19, 209

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 624, 186, 209, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 186, 209, 104 is 1.

Therefore, GCD of numbers 624, 186, 209, 104 is 1

Given Input Data is 624, 186, 209, 104

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

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 209 is 11 x 19

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(624, 186) = 19344

GCD(624, 186) = ( 624 x 186 ) / 19344

GCD(624, 186) = 116064 / 19344

GCD(624, 186) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 209

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

LCM(6, 209) = 1254

GCD(6, 209) = ( 6 x 209 ) / 1254

GCD(6, 209) = 1254 / 1254

GCD(6, 209) = 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 624, 186, 209, 104 is 1

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1. What is the GCD of 624, 186, 209, 104?

GCD of 624, 186, 209, 104 is 1

2. Where do I get the detailed procedure to find GCD of 624, 186, 209, 104?

You can find a detailed procedure to find GCD of 624, 186, 209, 104 on our page.

3. How to find GCD of 624, 186, 209, 104 on a calculator?

You can find the GCD of 624, 186, 209, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.