GCD of 309, 120, 185, 917 Calculator

Given Input numbers are 309, 120, 185, 917

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

Divisors of 309

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

1, 3, 103, 309

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 917

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

1, 7, 131, 917

Greatest Common Divisior

We found the divisors of 309, 120, 185, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 120, 185, 917 is 1.

Therefore, GCD of numbers 309, 120, 185, 917 is 1

Given Input Data is 309, 120, 185, 917

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 185 is 5 x 37

Prime Factorization of 917 is 7 x 131

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(309, 120) = 12360

GCD(309, 120) = ( 309 x 120 ) / 12360

GCD(309, 120) = 37080 / 12360

GCD(309, 120) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 185

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

LCM(3, 185) = 555

GCD(3, 185) = ( 3 x 185 ) / 555

GCD(3, 185) = 555 / 555

GCD(3, 185) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 917

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

LCM(1, 917) = 917

GCD(1, 917) = ( 1 x 917 ) / 917

GCD(1, 917) = 917 / 917

GCD(1, 917) = 1

GCD of 309, 120, 185, 917 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 368, 560, 802, 614
• GCD of 855, 766, 951, 581
• GCD of 481, 649, 577, 189
• GCD of 265, 170, 568, 523
• GCD of 978, 760, 999, 475

1. What is the GCD of 309, 120, 185, 917?

GCD of 309, 120, 185, 917 is 1

2. Where do I get the detailed procedure to find GCD of 309, 120, 185, 917?

You can find a detailed procedure to find GCD of 309, 120, 185, 917 on our page.

3. How to find GCD of 309, 120, 185, 917 on a calculator?

You can find the GCD of 309, 120, 185, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.