GCD of 186, 876, 14, 423 Calculator

Given Input numbers are 186, 876, 14, 423

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

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 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Greatest Common Divisior

We found the divisors of 186, 876, 14, 423 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 186, 876, 14, 423 is 1.

Therefore, GCD of numbers 186, 876, 14, 423 is 1

Given Input Data is 186, 876, 14, 423

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

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 14 is 2 x 7

Prime Factorization of 423 is 3 x 3 x 47

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(186, 876) = 27156

GCD(186, 876) = ( 186 x 876 ) / 27156

GCD(186, 876) = 162936 / 27156

GCD(186, 876) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 14

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

LCM(6, 14) = 42

GCD(6, 14) = ( 6 x 14 ) / 42

GCD(6, 14) = 84 / 42

GCD(6, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 423

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

LCM(2, 423) = 846

GCD(2, 423) = ( 2 x 423 ) / 846

GCD(2, 423) = 846 / 846

GCD(2, 423) = 1

GCD of 186, 876, 14, 423 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 213, 261, 17, 232
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• GCD of 390, 123, 60, 159
• GCD of 299, 565, 33, 197
• GCD of 429, 773, 90, 909

1. What is the GCD of 186, 876, 14, 423?

GCD of 186, 876, 14, 423 is 1

2. Where do I get the detailed procedure to find GCD of 186, 876, 14, 423?

You can find a detailed procedure to find GCD of 186, 876, 14, 423 on our page.

3. How to find GCD of 186, 876, 14, 423 on a calculator?

You can find the GCD of 186, 876, 14, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.