GCD of 322, 960, 399, 997 Calculator

Given Input numbers are 322, 960, 399, 997

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 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Greatest Common Divisior

We found the divisors of 322, 960, 399, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 960, 399, 997 is 1.

Therefore, GCD of numbers 322, 960, 399, 997 is 1

Given Input Data is 322, 960, 399, 997

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 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 997 is 997

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, 960) = 154560

GCD(322, 960) = ( 322 x 960 ) / 154560

GCD(322, 960) = 309120 / 154560

GCD(322, 960) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 399

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

LCM(2, 399) = 798

GCD(2, 399) = ( 2 x 399 ) / 798

GCD(2, 399) = 798 / 798

GCD(2, 399) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 997

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

LCM(1, 997) = 997

GCD(1, 997) = ( 1 x 997 ) / 997

GCD(1, 997) = 997 / 997

GCD(1, 997) = 1

GCD of 322, 960, 399, 997 is 1

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1. What is the GCD of 322, 960, 399, 997?

GCD of 322, 960, 399, 997 is 1

2. Where do I get the detailed procedure to find GCD of 322, 960, 399, 997?

You can find a detailed procedure to find GCD of 322, 960, 399, 997 on our page.

3. How to find GCD of 322, 960, 399, 997 on a calculator?

You can find the GCD of 322, 960, 399, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.