GCD of 105, 309, 99, 164 Calculator

Given Input numbers are 105, 309, 99, 164

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 99

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

1, 3, 9, 11, 33, 99

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 105, 309, 99, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 309, 99, 164 is 1.

Therefore, GCD of numbers 105, 309, 99, 164 is 1

Given Input Data is 105, 309, 99, 164

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 309 is 3 x 103

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 164 is 2 x 2 x 41

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(105, 309) = 10815

GCD(105, 309) = ( 105 x 309 ) / 10815

GCD(105, 309) = 32445 / 10815

GCD(105, 309) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 99

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

LCM(3, 99) = 99

GCD(3, 99) = ( 3 x 99 ) / 99

GCD(3, 99) = 297 / 99

GCD(3, 99) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 164

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

LCM(3, 164) = 492

GCD(3, 164) = ( 3 x 164 ) / 492

GCD(3, 164) = 492 / 492

GCD(3, 164) = 1

GCD of 105, 309, 99, 164 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 312, 191, 38, 717
• GCD of 749, 622, 76, 292
• GCD of 332, 301, 28, 641
• GCD of 991, 574, 40, 890
• GCD of 145, 127, 17, 962

1. What is the GCD of 105, 309, 99, 164?

GCD of 105, 309, 99, 164 is 1

2. Where do I get the detailed procedure to find GCD of 105, 309, 99, 164?

You can find a detailed procedure to find GCD of 105, 309, 99, 164 on our page.

3. How to find GCD of 105, 309, 99, 164 on a calculator?

You can find the GCD of 105, 309, 99, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.