GCD of 301, 917, 99, 164 Calculator

Given Input numbers are 301, 917, 99, 164

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

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

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 301, 917, 99, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 301, 917, 99, 164 is 1.

Therefore, GCD of numbers 301, 917, 99, 164 is 1

Given Input Data is 301, 917, 99, 164

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

Prime Factorization of 301 is 7 x 43

Prime Factorization of 917 is 7 x 131

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(301, 917) = 39431

GCD(301, 917) = ( 301 x 917 ) / 39431

GCD(301, 917) = 276017 / 39431

GCD(301, 917) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 99

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

LCM(7, 99) = 693

GCD(7, 99) = ( 7 x 99 ) / 693

GCD(7, 99) = 693 / 693

GCD(7, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

GCD of 301, 917, 99, 164 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 299, 568, 87, 842
• GCD of 603, 158, 11, 898
• GCD of 144, 770, 80, 806
• GCD of 392, 813, 51, 931
• GCD of 735, 504, 66, 232

1. What is the GCD of 301, 917, 99, 164?

GCD of 301, 917, 99, 164 is 1

2. Where do I get the detailed procedure to find GCD of 301, 917, 99, 164?

You can find a detailed procedure to find GCD of 301, 917, 99, 164 on our page.

3. How to find GCD of 301, 917, 99, 164 on a calculator?

You can find the GCD of 301, 917, 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.