GCD of 31, 438, 189, 154 Calculator

Given Input numbers are 31, 438, 189, 154

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

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

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 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Greatest Common Divisior

We found the divisors of 31, 438, 189, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 438, 189, 154 is 1.

Therefore, GCD of numbers 31, 438, 189, 154 is 1

Given Input Data is 31, 438, 189, 154

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

Prime Factorization of 31 is 31

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 154 is 2 x 7 x 11

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(31, 438) = 13578

GCD(31, 438) = ( 31 x 438 ) / 13578

GCD(31, 438) = 13578 / 13578

GCD(31, 438) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 154

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

LCM(1, 154) = 154

GCD(1, 154) = ( 1 x 154 ) / 154

GCD(1, 154) = 154 / 154

GCD(1, 154) = 1

GCD of 31, 438, 189, 154 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 11, 195, 265, 937
• GCD of 64, 559, 729, 826
• GCD of 19, 630, 125, 448
• GCD of 15, 782, 404, 154
• GCD of 78, 122, 626, 359

1. What is the GCD of 31, 438, 189, 154?

GCD of 31, 438, 189, 154 is 1

2. Where do I get the detailed procedure to find GCD of 31, 438, 189, 154?

You can find a detailed procedure to find GCD of 31, 438, 189, 154 on our page.

3. How to find GCD of 31, 438, 189, 154 on a calculator?

You can find the GCD of 31, 438, 189, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.