GCD of 111, 195, 52, 176 Calculator

Given Input numbers are 111, 195, 52, 176

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 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Greatest Common Divisior

We found the divisors of 111, 195, 52, 176 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 111, 195, 52, 176 is 1.

Therefore, GCD of numbers 111, 195, 52, 176 is 1

Given Input Data is 111, 195, 52, 176

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

Prime Factorization of 111 is 3 x 37

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 176 is 2 x 2 x 2 x 2 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, 195) = 7215

GCD(111, 195) = ( 111 x 195 ) / 7215

GCD(111, 195) = 21645 / 7215

GCD(111, 195) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 52

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

LCM(3, 52) = 156

GCD(3, 52) = ( 3 x 52 ) / 156

GCD(3, 52) = 156 / 156

GCD(3, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 176

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

LCM(1, 176) = 176

GCD(1, 176) = ( 1 x 176 ) / 176

GCD(1, 176) = 176 / 176

GCD(1, 176) = 1

GCD of 111, 195, 52, 176 is 1

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1. What is the GCD of 111, 195, 52, 176?

GCD of 111, 195, 52, 176 is 1

2. Where do I get the detailed procedure to find GCD of 111, 195, 52, 176?

You can find a detailed procedure to find GCD of 111, 195, 52, 176 on our page.

3. How to find GCD of 111, 195, 52, 176 on a calculator?

You can find the GCD of 111, 195, 52, 176 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.