GCD of 17, 961, 134, 309 Calculator

Given Input numbers are 17, 961, 134, 309

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

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 309

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

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 17, 961, 134, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 961, 134, 309 is 1.

Therefore, GCD of numbers 17, 961, 134, 309 is 1

Given Input Data is 17, 961, 134, 309

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

Prime Factorization of 17 is 17

Prime Factorization of 961 is 31 x 31

Prime Factorization of 134 is 2 x 67

Prime Factorization of 309 is 3 x 103

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(17, 961) = 16337

GCD(17, 961) = ( 17 x 961 ) / 16337

GCD(17, 961) = 16337 / 16337

GCD(17, 961) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 134

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

LCM(1, 134) = 134

GCD(1, 134) = ( 1 x 134 ) / 134

GCD(1, 134) = 134 / 134

GCD(1, 134) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

GCD of 17, 961, 134, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 73, 581, 751, 696
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1. What is the GCD of 17, 961, 134, 309?

GCD of 17, 961, 134, 309 is 1

2. Where do I get the detailed procedure to find GCD of 17, 961, 134, 309?

You can find a detailed procedure to find GCD of 17, 961, 134, 309 on our page.

3. How to find GCD of 17, 961, 134, 309 on a calculator?

You can find the GCD of 17, 961, 134, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.