GCD of 111, 106, 171, 363 Calculator

Given Input numbers are 111, 106, 171, 363

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 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Greatest Common Divisior

We found the divisors of 111, 106, 171, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 111, 106, 171, 363 is 1.

Therefore, GCD of numbers 111, 106, 171, 363 is 1

Given Input Data is 111, 106, 171, 363

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

Prime Factorization of 111 is 3 x 37

Prime Factorization of 106 is 2 x 53

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 363 is 3 x 11 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, 106) = 11766

GCD(111, 106) = ( 111 x 106 ) / 11766

GCD(111, 106) = 11766 / 11766

GCD(111, 106) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 363

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

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

GCD(1, 363) = 363 / 363

GCD(1, 363) = 1

GCD of 111, 106, 171, 363 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 578, 645, 151, 198
• GCD of 680, 753, 625, 621
• GCD of 912, 343, 185, 635
• GCD of 689, 246, 964, 565
• GCD of 824, 459, 643, 506

1. What is the GCD of 111, 106, 171, 363?

GCD of 111, 106, 171, 363 is 1

2. Where do I get the detailed procedure to find GCD of 111, 106, 171, 363?

You can find a detailed procedure to find GCD of 111, 106, 171, 363 on our page.

3. How to find GCD of 111, 106, 171, 363 on a calculator?

You can find the GCD of 111, 106, 171, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.