GCD of 189, 346, 23, 879 Calculator

Given Input numbers are 189, 346, 23, 879

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 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Greatest Common Divisior

We found the divisors of 189, 346, 23, 879 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 346, 23, 879 is 1.

Therefore, GCD of numbers 189, 346, 23, 879 is 1

Given Input Data is 189, 346, 23, 879

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 346 is 2 x 173

Prime Factorization of 23 is 23

Prime Factorization of 879 is 3 x 293

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, 346) = 65394

GCD(189, 346) = ( 189 x 346 ) / 65394

GCD(189, 346) = 65394 / 65394

GCD(189, 346) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 879

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

LCM(1, 879) = 879

GCD(1, 879) = ( 1 x 879 ) / 879

GCD(1, 879) = 879 / 879

GCD(1, 879) = 1

GCD of 189, 346, 23, 879 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 912, 668, 89, 770
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1. What is the GCD of 189, 346, 23, 879?

GCD of 189, 346, 23, 879 is 1

2. Where do I get the detailed procedure to find GCD of 189, 346, 23, 879?

You can find a detailed procedure to find GCD of 189, 346, 23, 879 on our page.

3. How to find GCD of 189, 346, 23, 879 on a calculator?

You can find the GCD of 189, 346, 23, 879 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.