GCD of 384, 366, 921, 982 Calculator

Given Input numbers are 384, 366, 921, 982

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

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

Divisors of 366

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

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

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 384, 366, 921, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 366, 921, 982 is 1.

Therefore, GCD of numbers 384, 366, 921, 982 is 1

Given Input Data is 384, 366, 921, 982

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

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

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 921 is 3 x 307

Prime Factorization of 982 is 2 x 491

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(384, 366) = 23424

GCD(384, 366) = ( 384 x 366 ) / 23424

GCD(384, 366) = 140544 / 23424

GCD(384, 366) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 921

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

LCM(6, 921) = 1842

GCD(6, 921) = ( 6 x 921 ) / 1842

GCD(6, 921) = 5526 / 1842

GCD(6, 921) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 982

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

LCM(3, 982) = 2946

GCD(3, 982) = ( 3 x 982 ) / 2946

GCD(3, 982) = 2946 / 2946

GCD(3, 982) = 1

GCD of 384, 366, 921, 982 is 1

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1. What is the GCD of 384, 366, 921, 982?

GCD of 384, 366, 921, 982 is 1

2. Where do I get the detailed procedure to find GCD of 384, 366, 921, 982?

You can find a detailed procedure to find GCD of 384, 366, 921, 982 on our page.

3. How to find GCD of 384, 366, 921, 982 on a calculator?

You can find the GCD of 384, 366, 921, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.