GCD of 284, 788, 250, 994 Calculator

Given Input numbers are 284, 788, 250, 994

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

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

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 284, 788, 250, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 788, 250, 994 is 2.

Therefore, GCD of numbers 284, 788, 250, 994 is 2

Given Input Data is 284, 788, 250, 994

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

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 250 is 2 x 5 x 5 x 5

Prime Factorization of 994 is 2 x 7 x 71

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(284, 788) = 55948

GCD(284, 788) = ( 284 x 788 ) / 55948

GCD(284, 788) = 223792 / 55948

GCD(284, 788) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 250

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

LCM(4, 250) = 500

GCD(4, 250) = ( 4 x 250 ) / 500

GCD(4, 250) = 1000 / 500

GCD(4, 250) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 994

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

LCM(2, 994) = 994

GCD(2, 994) = ( 2 x 994 ) / 994

GCD(2, 994) = 1988 / 994

GCD(2, 994) = 2

GCD of 284, 788, 250, 994 is 2

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1. What is the GCD of 284, 788, 250, 994?

GCD of 284, 788, 250, 994 is 2

2. Where do I get the detailed procedure to find GCD of 284, 788, 250, 994?

You can find a detailed procedure to find GCD of 284, 788, 250, 994 on our page.

3. How to find GCD of 284, 788, 250, 994 on a calculator?

You can find the GCD of 284, 788, 250, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.