GCD of 966, 219, 83, 333 Calculator

Given Input numbers are 966, 219, 83, 333

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

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 333

List of positive integer divisors of 333 that divides 333 without a remainder.

1, 3, 9, 37, 111, 333

Greatest Common Divisior

We found the divisors of 966, 219, 83, 333 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 219, 83, 333 is 1.

Therefore, GCD of numbers 966, 219, 83, 333 is 1

Given Input Data is 966, 219, 83, 333

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

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 219 is 3 x 73

Prime Factorization of 83 is 83

Prime Factorization of 333 is 3 x 3 x 37

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(966, 219) = 70518

GCD(966, 219) = ( 966 x 219 ) / 70518

GCD(966, 219) = 211554 / 70518

GCD(966, 219) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 83

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

LCM(3, 83) = 249

GCD(3, 83) = ( 3 x 83 ) / 249

GCD(3, 83) = 249 / 249

GCD(3, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 333

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

LCM(1, 333) = 333

GCD(1, 333) = ( 1 x 333 ) / 333

GCD(1, 333) = 333 / 333

GCD(1, 333) = 1

GCD of 966, 219, 83, 333 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 131, 636, 97, 573
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• GCD of 890, 164, 40, 627

1. What is the GCD of 966, 219, 83, 333?

GCD of 966, 219, 83, 333 is 1

2. Where do I get the detailed procedure to find GCD of 966, 219, 83, 333?

You can find a detailed procedure to find GCD of 966, 219, 83, 333 on our page.

3. How to find GCD of 966, 219, 83, 333 on a calculator?

You can find the GCD of 966, 219, 83, 333 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.