GCD of 189, 780, 73, 104 Calculator

Given Input numbers are 189, 780, 73, 104

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

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

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 189, 780, 73, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 780, 73, 104 is 1.

Therefore, GCD of numbers 189, 780, 73, 104 is 1

Given Input Data is 189, 780, 73, 104

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

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 73 is 73

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(189, 780) = 49140

GCD(189, 780) = ( 189 x 780 ) / 49140

GCD(189, 780) = 147420 / 49140

GCD(189, 780) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 73

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

LCM(3, 73) = 219

GCD(3, 73) = ( 3 x 73 ) / 219

GCD(3, 73) = 219 / 219

GCD(3, 73) = 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 189, 780, 73, 104 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 992, 754, 51, 394
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• GCD of 342, 803, 98, 895

1. What is the GCD of 189, 780, 73, 104?

GCD of 189, 780, 73, 104 is 1

2. Where do I get the detailed procedure to find GCD of 189, 780, 73, 104?

You can find a detailed procedure to find GCD of 189, 780, 73, 104 on our page.

3. How to find GCD of 189, 780, 73, 104 on a calculator?

You can find the GCD of 189, 780, 73, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.