GCD of 111, 195, 90, 145 Calculator

Given Input numbers are 111, 195, 90, 145

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 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Greatest Common Divisior

We found the divisors of 111, 195, 90, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 111, 195, 90, 145 is 1.

Therefore, GCD of numbers 111, 195, 90, 145 is 1

Given Input Data is 111, 195, 90, 145

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 90 is 2 x 3 x 3 x 5

Prime Factorization of 145 is 5 x 29

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 90

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

LCM(3, 90) = 90

GCD(3, 90) = ( 3 x 90 ) / 90

GCD(3, 90) = 270 / 90

GCD(3, 90) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 145

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

LCM(3, 145) = 435

GCD(3, 145) = ( 3 x 145 ) / 435

GCD(3, 145) = 435 / 435

GCD(3, 145) = 1

GCD of 111, 195, 90, 145 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 245, 167, 19, 542
• GCD of 311, 201, 80, 395
• GCD of 319, 147, 19, 608
• GCD of 546, 283, 28, 735
• GCD of 432, 426, 61, 763

1. What is the GCD of 111, 195, 90, 145?

GCD of 111, 195, 90, 145 is 1

2. Where do I get the detailed procedure to find GCD of 111, 195, 90, 145?

You can find a detailed procedure to find GCD of 111, 195, 90, 145 on our page.

3. How to find GCD of 111, 195, 90, 145 on a calculator?

You can find the GCD of 111, 195, 90, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.