GCD of 330, 969, 54, 836 Calculator

Given Input numbers are 330, 969, 54, 836

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

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Greatest Common Divisior

We found the divisors of 330, 969, 54, 836 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 969, 54, 836 is 1.

Therefore, GCD of numbers 330, 969, 54, 836 is 1

Given Input Data is 330, 969, 54, 836

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

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 836 is 2 x 2 x 11 x 19

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(330, 969) = 106590

GCD(330, 969) = ( 330 x 969 ) / 106590

GCD(330, 969) = 319770 / 106590

GCD(330, 969) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 54

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

LCM(3, 54) = 54

GCD(3, 54) = ( 3 x 54 ) / 54

GCD(3, 54) = 162 / 54

GCD(3, 54) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 836

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

LCM(3, 836) = 2508

GCD(3, 836) = ( 3 x 836 ) / 2508

GCD(3, 836) = 2508 / 2508

GCD(3, 836) = 1

GCD of 330, 969, 54, 836 is 1

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1. What is the GCD of 330, 969, 54, 836?

GCD of 330, 969, 54, 836 is 1

2. Where do I get the detailed procedure to find GCD of 330, 969, 54, 836?

You can find a detailed procedure to find GCD of 330, 969, 54, 836 on our page.

3. How to find GCD of 330, 969, 54, 836 on a calculator?

You can find the GCD of 330, 969, 54, 836 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.