GCD of 965, 904, 14, 321 Calculator

Given Input numbers are 965, 904, 14, 321

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

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Greatest Common Divisior

We found the divisors of 965, 904, 14, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 965, 904, 14, 321 is 1.

Therefore, GCD of numbers 965, 904, 14, 321 is 1

Given Input Data is 965, 904, 14, 321

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

Prime Factorization of 965 is 5 x 193

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 14 is 2 x 7

Prime Factorization of 321 is 3 x 107

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(965, 904) = 872360

GCD(965, 904) = ( 965 x 904 ) / 872360

GCD(965, 904) = 872360 / 872360

GCD(965, 904) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 321

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

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

GCD(1, 321) = 321 / 321

GCD(1, 321) = 1

GCD of 965, 904, 14, 321 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 175, 223, 36, 258
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• GCD of 905, 349, 41, 499

1. What is the GCD of 965, 904, 14, 321?

GCD of 965, 904, 14, 321 is 1

2. Where do I get the detailed procedure to find GCD of 965, 904, 14, 321?

You can find a detailed procedure to find GCD of 965, 904, 14, 321 on our page.

3. How to find GCD of 965, 904, 14, 321 on a calculator?

You can find the GCD of 965, 904, 14, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.