GCD of 99, 198, 738, 133 Calculator

Given Input numbers are 99, 198, 738, 133

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 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 99, 198, 738, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 198, 738, 133 is 1.

Therefore, GCD of numbers 99, 198, 738, 133 is 1

Given Input Data is 99, 198, 738, 133

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 198 is 2 x 3 x 3 x 11

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 133 is 7 x 19

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, 198) = 198

GCD(99, 198) = ( 99 x 198 ) / 198

GCD(99, 198) = 19602 / 198

GCD(99, 198) = 99

Step2:

Here we consider the GCD from the above i.e. 99 as first number and the next as 738

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

LCM(99, 738) = 8118

GCD(99, 738) = ( 99 x 738 ) / 8118

GCD(99, 738) = 73062 / 8118

GCD(99, 738) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 133

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

LCM(9, 133) = 1197

GCD(9, 133) = ( 9 x 133 ) / 1197

GCD(9, 133) = 1197 / 1197

GCD(9, 133) = 1

GCD of 99, 198, 738, 133 is 1

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• GCD of 52, 664, 447, 662
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1. What is the GCD of 99, 198, 738, 133?

GCD of 99, 198, 738, 133 is 1

2. Where do I get the detailed procedure to find GCD of 99, 198, 738, 133?

You can find a detailed procedure to find GCD of 99, 198, 738, 133 on our page.

3. How to find GCD of 99, 198, 738, 133 on a calculator?

You can find the GCD of 99, 198, 738, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.