GCD of 438, 186, 381, 207 Calculator

Given Input numbers are 438, 186, 381, 207

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

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

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 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Greatest Common Divisior

We found the divisors of 438, 186, 381, 207 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 186, 381, 207 is 3.

Therefore, GCD of numbers 438, 186, 381, 207 is 3

Given Input Data is 438, 186, 381, 207

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

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 381 is 3 x 127

Prime Factorization of 207 is 3 x 3 x 23

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(438, 186) = 13578

GCD(438, 186) = ( 438 x 186 ) / 13578

GCD(438, 186) = 81468 / 13578

GCD(438, 186) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 381

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

LCM(6, 381) = 762

GCD(6, 381) = ( 6 x 381 ) / 762

GCD(6, 381) = 2286 / 762

GCD(6, 381) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 207

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

LCM(3, 207) = 207

GCD(3, 207) = ( 3 x 207 ) / 207

GCD(3, 207) = 621 / 207

GCD(3, 207) = 3

GCD of 438, 186, 381, 207 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 766, 901, 543, 975
• GCD of 955, 225, 622, 862
• GCD of 167, 919, 510, 732
• GCD of 643, 101, 759, 727
• GCD of 376, 413, 650, 835

1. What is the GCD of 438, 186, 381, 207?

GCD of 438, 186, 381, 207 is 3

2. Where do I get the detailed procedure to find GCD of 438, 186, 381, 207?

You can find a detailed procedure to find GCD of 438, 186, 381, 207 on our page.

3. How to find GCD of 438, 186, 381, 207 on a calculator?

You can find the GCD of 438, 186, 381, 207 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.