GCD of 165, 819, 860, 384 Calculator

Given Input numbers are 165, 819, 860, 384

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

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Greatest Common Divisior

We found the divisors of 165, 819, 860, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 819, 860, 384 is 1.

Therefore, GCD of numbers 165, 819, 860, 384 is 1

Given Input Data is 165, 819, 860, 384

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

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 860 is 2 x 2 x 5 x 43

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(165, 819) = 45045

GCD(165, 819) = ( 165 x 819 ) / 45045

GCD(165, 819) = 135135 / 45045

GCD(165, 819) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 860

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

LCM(3, 860) = 2580

GCD(3, 860) = ( 3 x 860 ) / 2580

GCD(3, 860) = 2580 / 2580

GCD(3, 860) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 384

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

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

GCD(1, 384) = 384 / 384

GCD(1, 384) = 1

GCD of 165, 819, 860, 384 is 1

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1. What is the GCD of 165, 819, 860, 384?

GCD of 165, 819, 860, 384 is 1

2. Where do I get the detailed procedure to find GCD of 165, 819, 860, 384?

You can find a detailed procedure to find GCD of 165, 819, 860, 384 on our page.

3. How to find GCD of 165, 819, 860, 384 on a calculator?

You can find the GCD of 165, 819, 860, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.