GCD of 31, 270, 187, 369 Calculator

Given Input numbers are 31, 270, 187, 369

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 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 31, 270, 187, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 270, 187, 369 is 1.

Therefore, GCD of numbers 31, 270, 187, 369 is 1

Given Input Data is 31, 270, 187, 369

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

Prime Factorization of 31 is 31

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 187 is 11 x 17

Prime Factorization of 369 is 3 x 3 x 41

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, 270) = 8370

GCD(31, 270) = ( 31 x 270 ) / 8370

GCD(31, 270) = 8370 / 8370

GCD(31, 270) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 187

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

LCM(1, 187) = 187

GCD(1, 187) = ( 1 x 187 ) / 187

GCD(1, 187) = 187 / 187

GCD(1, 187) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 369

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

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

GCD(1, 369) = 369 / 369

GCD(1, 369) = 1

GCD of 31, 270, 187, 369 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 48, 982, 552, 656
• GCD of 73, 858, 187, 578
• GCD of 67, 930, 763, 942
• GCD of 95, 943, 432, 494
• GCD of 24, 250, 721, 889

1. What is the GCD of 31, 270, 187, 369?

GCD of 31, 270, 187, 369 is 1

2. Where do I get the detailed procedure to find GCD of 31, 270, 187, 369?

You can find a detailed procedure to find GCD of 31, 270, 187, 369 on our page.

3. How to find GCD of 31, 270, 187, 369 on a calculator?

You can find the GCD of 31, 270, 187, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.