GCD of 99, 400, 191, 148 Calculator

Given Input numbers are 99, 400, 191, 148

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 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 191

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

1, 191

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 99, 400, 191, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 400, 191, 148 is 1.

Therefore, GCD of numbers 99, 400, 191, 148 is 1

Given Input Data is 99, 400, 191, 148

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 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 191 is 191

Prime Factorization of 148 is 2 x 2 x 37

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, 400) = 39600

GCD(99, 400) = ( 99 x 400 ) / 39600

GCD(99, 400) = 39600 / 39600

GCD(99, 400) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 191

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

LCM(1, 191) = 191

GCD(1, 191) = ( 1 x 191 ) / 191

GCD(1, 191) = 191 / 191

GCD(1, 191) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 148

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

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

GCD(1, 148) = 148 / 148

GCD(1, 148) = 1

GCD of 99, 400, 191, 148 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 79, 612, 743, 586
• GCD of 31, 337, 175, 723
• GCD of 92, 734, 268, 929
• GCD of 43, 545, 116, 834
• GCD of 71, 118, 423, 665

1. What is the GCD of 99, 400, 191, 148?

GCD of 99, 400, 191, 148 is 1

2. Where do I get the detailed procedure to find GCD of 99, 400, 191, 148?

You can find a detailed procedure to find GCD of 99, 400, 191, 148 on our page.

3. How to find GCD of 99, 400, 191, 148 on a calculator?

You can find the GCD of 99, 400, 191, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.