GCD of 31, 191, 310, 150 Calculator

Given Input numbers are 31, 191, 310, 150

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 191

List of positive integer divisors of 191 that divides 191 without a remainder.

1, 191

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Greatest Common Divisior

We found the divisors of 31, 191, 310, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 191, 310, 150 is 1.

Therefore, GCD of numbers 31, 191, 310, 150 is 1

Given Input Data is 31, 191, 310, 150

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

Prime Factorization of 31 is 31

Prime Factorization of 191 is 191

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 150 is 2 x 3 x 5 x 5

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, 191) = 5921

GCD(31, 191) = ( 31 x 191 ) / 5921

GCD(31, 191) = 5921 / 5921

GCD(31, 191) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 310

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

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

GCD(1, 310) = 310 / 310

GCD(1, 310) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 150

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

LCM(1, 150) = 150

GCD(1, 150) = ( 1 x 150 ) / 150

GCD(1, 150) = 150 / 150

GCD(1, 150) = 1

GCD of 31, 191, 310, 150 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 33, 913, 160, 997
• GCD of 27, 977, 809, 678
• GCD of 90, 442, 543, 165
• GCD of 67, 170, 416, 458
• GCD of 78, 116, 517, 795

1. What is the GCD of 31, 191, 310, 150?

GCD of 31, 191, 310, 150 is 1

2. Where do I get the detailed procedure to find GCD of 31, 191, 310, 150?

You can find a detailed procedure to find GCD of 31, 191, 310, 150 on our page.

3. How to find GCD of 31, 191, 310, 150 on a calculator?

You can find the GCD of 31, 191, 310, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.