GCD of 321, 612, 652, 116 Calculator

Given Input numbers are 321, 612, 652, 116

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 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 321, 612, 652, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 612, 652, 116 is 1.

Therefore, GCD of numbers 321, 612, 652, 116 is 1

Given Input Data is 321, 612, 652, 116

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 652 is 2 x 2 x 163

Prime Factorization of 116 is 2 x 2 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, 612) = 65484

GCD(321, 612) = ( 321 x 612 ) / 65484

GCD(321, 612) = 196452 / 65484

GCD(321, 612) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 652

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

LCM(3, 652) = 1956

GCD(3, 652) = ( 3 x 652 ) / 1956

GCD(3, 652) = 1956 / 1956

GCD(3, 652) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

GCD of 321, 612, 652, 116 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 372, 669, 960, 702
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1. What is the GCD of 321, 612, 652, 116?

GCD of 321, 612, 652, 116 is 1

2. Where do I get the detailed procedure to find GCD of 321, 612, 652, 116?

You can find a detailed procedure to find GCD of 321, 612, 652, 116 on our page.

3. How to find GCD of 321, 612, 652, 116 on a calculator?

You can find the GCD of 321, 612, 652, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.