GCD of 584, 384, 65, 994 Calculator

Given Input numbers are 584, 384, 65, 994

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

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

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 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Greatest Common Divisior

We found the divisors of 584, 384, 65, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 384, 65, 994 is 1.

Therefore, GCD of numbers 584, 384, 65, 994 is 1

Given Input Data is 584, 384, 65, 994

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

Prime Factorization of 584 is 2 x 2 x 2 x 73

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

Prime Factorization of 65 is 5 x 13

Prime Factorization of 994 is 2 x 7 x 71

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(584, 384) = 28032

GCD(584, 384) = ( 584 x 384 ) / 28032

GCD(584, 384) = 224256 / 28032

GCD(584, 384) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 65

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

LCM(8, 65) = 520

GCD(8, 65) = ( 8 x 65 ) / 520

GCD(8, 65) = 520 / 520

GCD(8, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 994

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

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

GCD(1, 994) = 994 / 994

GCD(1, 994) = 1

GCD of 584, 384, 65, 994 is 1

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1. What is the GCD of 584, 384, 65, 994?

GCD of 584, 384, 65, 994 is 1

2. Where do I get the detailed procedure to find GCD of 584, 384, 65, 994?

You can find a detailed procedure to find GCD of 584, 384, 65, 994 on our page.

3. How to find GCD of 584, 384, 65, 994 on a calculator?

You can find the GCD of 584, 384, 65, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.