GCD of 19, 960, 924, 366 Calculator

Given Input numbers are 19, 960, 924, 366

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

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Greatest Common Divisior

We found the divisors of 19, 960, 924, 366 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 19, 960, 924, 366 is 1.

Therefore, GCD of numbers 19, 960, 924, 366 is 1

Given Input Data is 19, 960, 924, 366

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

Prime Factorization of 19 is 19

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 366 is 2 x 3 x 61

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(19, 960) = 18240

GCD(19, 960) = ( 19 x 960 ) / 18240

GCD(19, 960) = 18240 / 18240

GCD(19, 960) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 924

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

LCM(1, 924) = 924

GCD(1, 924) = ( 1 x 924 ) / 924

GCD(1, 924) = 924 / 924

GCD(1, 924) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 366

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

LCM(1, 366) = 366

GCD(1, 366) = ( 1 x 366 ) / 366

GCD(1, 366) = 366 / 366

GCD(1, 366) = 1

GCD of 19, 960, 924, 366 is 1

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1. What is the GCD of 19, 960, 924, 366?

GCD of 19, 960, 924, 366 is 1

2. Where do I get the detailed procedure to find GCD of 19, 960, 924, 366?

You can find a detailed procedure to find GCD of 19, 960, 924, 366 on our page.

3. How to find GCD of 19, 960, 924, 366 on a calculator?

You can find the GCD of 19, 960, 924, 366 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.