GCD of 584, 199, 354, 382 Calculator

Given Input numbers are 584, 199, 354, 382

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 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Greatest Common Divisior

We found the divisors of 584, 199, 354, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 199, 354, 382 is 1.

Therefore, GCD of numbers 584, 199, 354, 382 is 1

Given Input Data is 584, 199, 354, 382

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 199 is 199

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 382 is 2 x 191

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, 199) = 116216

GCD(584, 199) = ( 584 x 199 ) / 116216

GCD(584, 199) = 116216 / 116216

GCD(584, 199) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 382

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

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

GCD(1, 382) = 382 / 382

GCD(1, 382) = 1

GCD of 584, 199, 354, 382 is 1

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1. What is the GCD of 584, 199, 354, 382?

GCD of 584, 199, 354, 382 is 1

2. Where do I get the detailed procedure to find GCD of 584, 199, 354, 382?

You can find a detailed procedure to find GCD of 584, 199, 354, 382 on our page.

3. How to find GCD of 584, 199, 354, 382 on a calculator?

You can find the GCD of 584, 199, 354, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.