GCD of 111, 995, 10, 231 Calculator

Given Input numbers are 111, 995, 10, 231

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

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Greatest Common Divisior

We found the divisors of 111, 995, 10, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 111, 995, 10, 231 is 1.

Therefore, GCD of numbers 111, 995, 10, 231 is 1

Given Input Data is 111, 995, 10, 231

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

Prime Factorization of 111 is 3 x 37

Prime Factorization of 995 is 5 x 199

Prime Factorization of 10 is 2 x 5

Prime Factorization of 231 is 3 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(111, 995) = 110445

GCD(111, 995) = ( 111 x 995 ) / 110445

GCD(111, 995) = 110445 / 110445

GCD(111, 995) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 231

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

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

GCD(1, 231) = 231 / 231

GCD(1, 231) = 1

GCD of 111, 995, 10, 231 is 1

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1. What is the GCD of 111, 995, 10, 231?

GCD of 111, 995, 10, 231 is 1

2. Where do I get the detailed procedure to find GCD of 111, 995, 10, 231?

You can find a detailed procedure to find GCD of 111, 995, 10, 231 on our page.

3. How to find GCD of 111, 995, 10, 231 on a calculator?

You can find the GCD of 111, 995, 10, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.