GCD of 994, 281, 501, 584 Calculator

Given Input numbers are 994, 281, 501, 584

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

Divisors of 994

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

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

Divisors of 281

List of positive integer divisors of 281 that divides 281 without a remainder.

1, 281

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 584

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

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

Greatest Common Divisior

We found the divisors of 994, 281, 501, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 281, 501, 584 is 1.

Therefore, GCD of numbers 994, 281, 501, 584 is 1

Given Input Data is 994, 281, 501, 584

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

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 281 is 281

Prime Factorization of 501 is 3 x 167

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

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(994, 281) = 279314

GCD(994, 281) = ( 994 x 281 ) / 279314

GCD(994, 281) = 279314 / 279314

GCD(994, 281) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 501

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

LCM(1, 501) = 501

GCD(1, 501) = ( 1 x 501 ) / 501

GCD(1, 501) = 501 / 501

GCD(1, 501) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 584

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

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

GCD(1, 584) = 584 / 584

GCD(1, 584) = 1

GCD of 994, 281, 501, 584 is 1

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1. What is the GCD of 994, 281, 501, 584?

GCD of 994, 281, 501, 584 is 1

2. Where do I get the detailed procedure to find GCD of 994, 281, 501, 584?

You can find a detailed procedure to find GCD of 994, 281, 501, 584 on our page.

3. How to find GCD of 994, 281, 501, 584 on a calculator?

You can find the GCD of 994, 281, 501, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.