GCD of 19, 219, 825, 143 Calculator

Given Input numbers are 19, 219, 825, 143

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

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Greatest Common Divisior

We found the divisors of 19, 219, 825, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 19, 219, 825, 143 is 1.

Therefore, GCD of numbers 19, 219, 825, 143 is 1

Given Input Data is 19, 219, 825, 143

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

Prime Factorization of 19 is 19

Prime Factorization of 219 is 3 x 73

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 143 is 11 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(19, 219) = 4161

GCD(19, 219) = ( 19 x 219 ) / 4161

GCD(19, 219) = 4161 / 4161

GCD(19, 219) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 143

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

LCM(1, 143) = 143

GCD(1, 143) = ( 1 x 143 ) / 143

GCD(1, 143) = 143 / 143

GCD(1, 143) = 1

GCD of 19, 219, 825, 143 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 25, 397, 947, 626
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• GCD of 62, 856, 455, 199
• GCD of 97, 963, 336, 429

1. What is the GCD of 19, 219, 825, 143?

GCD of 19, 219, 825, 143 is 1

2. Where do I get the detailed procedure to find GCD of 19, 219, 825, 143?

You can find a detailed procedure to find GCD of 19, 219, 825, 143 on our page.

3. How to find GCD of 19, 219, 825, 143 on a calculator?

You can find the GCD of 19, 219, 825, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.