GCD of 322, 799, 17, 945 Calculator

Given Input numbers are 322, 799, 17, 945

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

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 799

List of positive integer divisors of 799 that divides 799 without a remainder.

1, 17, 47, 799

Divisors of 17

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

1, 17

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Greatest Common Divisior

We found the divisors of 322, 799, 17, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 799, 17, 945 is 1.

Therefore, GCD of numbers 322, 799, 17, 945 is 1

Given Input Data is 322, 799, 17, 945

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

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 799 is 17 x 47

Prime Factorization of 17 is 17

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

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(322, 799) = 257278

GCD(322, 799) = ( 322 x 799 ) / 257278

GCD(322, 799) = 257278 / 257278

GCD(322, 799) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

GCD of 322, 799, 17, 945 is 1

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1. What is the GCD of 322, 799, 17, 945?

GCD of 322, 799, 17, 945 is 1

2. Where do I get the detailed procedure to find GCD of 322, 799, 17, 945?

You can find a detailed procedure to find GCD of 322, 799, 17, 945 on our page.

3. How to find GCD of 322, 799, 17, 945 on a calculator?

You can find the GCD of 322, 799, 17, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.