GCD of 321, 930, 145 Calculator

Given Input numbers are 321, 930, 145

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

Divisors of 321

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

1, 3, 107, 321

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Greatest Common Divisior

We found the divisors of 321, 930, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 930, 145 is 1.

Therefore, GCD of numbers 321, 930, 145 is 1

Given Input Data is 321, 930, 145

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 930 is 2 x 3 x 5 x 31

Prime Factorization of 145 is 5 x 29

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(321, 930) = 99510

GCD(321, 930) = ( 321 x 930 ) / 99510

GCD(321, 930) = 298530 / 99510

GCD(321, 930) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 145

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

LCM(3, 145) = 435

GCD(3, 145) = ( 3 x 145 ) / 435

GCD(3, 145) = 435 / 435

GCD(3, 145) = 1

GCD of 321, 930, 145 is 1

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1. What is the GCD of 321, 930, 145?

GCD of 321, 930, 145 is 1

2. Where do I get the detailed procedure to find GCD of 321, 930, 145?

You can find a detailed procedure to find GCD of 321, 930, 145 on our page.

3. How to find GCD of 321, 930, 145 on a calculator?

You can find the GCD of 321, 930, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.