GCD of 99, 191, 280, 142 Calculator

Given Input numbers are 99, 191, 280, 142

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

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 191

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

1, 191

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 99, 191, 280, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 191, 280, 142 is 1.

Therefore, GCD of numbers 99, 191, 280, 142 is 1

Given Input Data is 99, 191, 280, 142

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

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 191 is 191

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 142 is 2 x 71

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(99, 191) = 18909

GCD(99, 191) = ( 99 x 191 ) / 18909

GCD(99, 191) = 18909 / 18909

GCD(99, 191) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 280

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

LCM(1, 280) = 280

GCD(1, 280) = ( 1 x 280 ) / 280

GCD(1, 280) = 280 / 280

GCD(1, 280) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 99, 191, 280, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 63, 772, 794, 725
• GCD of 47, 695, 766, 733
• GCD of 41, 967, 380, 457
• GCD of 43, 488, 244, 795
• GCD of 48, 295, 714, 143

1. What is the GCD of 99, 191, 280, 142?

GCD of 99, 191, 280, 142 is 1

2. Where do I get the detailed procedure to find GCD of 99, 191, 280, 142?

You can find a detailed procedure to find GCD of 99, 191, 280, 142 on our page.

3. How to find GCD of 99, 191, 280, 142 on a calculator?

You can find the GCD of 99, 191, 280, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.