GCD of 186, 452, 427, 109 Calculator

Given Input numbers are 186, 452, 427, 109

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 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Greatest Common Divisior

We found the divisors of 186, 452, 427, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 186, 452, 427, 109 is 1.

Therefore, GCD of numbers 186, 452, 427, 109 is 1

Given Input Data is 186, 452, 427, 109

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 452 is 2 x 2 x 113

Prime Factorization of 427 is 7 x 61

Prime Factorization of 109 is 109

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, 452) = 42036

GCD(186, 452) = ( 186 x 452 ) / 42036

GCD(186, 452) = 84072 / 42036

GCD(186, 452) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 427

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

LCM(2, 427) = 854

GCD(2, 427) = ( 2 x 427 ) / 854

GCD(2, 427) = 854 / 854

GCD(2, 427) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

GCD of 186, 452, 427, 109 is 1

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1. What is the GCD of 186, 452, 427, 109?

GCD of 186, 452, 427, 109 is 1

2. Where do I get the detailed procedure to find GCD of 186, 452, 427, 109?

You can find a detailed procedure to find GCD of 186, 452, 427, 109 on our page.

3. How to find GCD of 186, 452, 427, 109 on a calculator?

You can find the GCD of 186, 452, 427, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.