GCD of 250, 856, 298, 282 Calculator

Given Input numbers are 250, 856, 298, 282

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

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 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Greatest Common Divisior

We found the divisors of 250, 856, 298, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 856, 298, 282 is 2.

Therefore, GCD of numbers 250, 856, 298, 282 is 2

Given Input Data is 250, 856, 298, 282

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

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

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 298 is 2 x 149

Prime Factorization of 282 is 2 x 3 x 47

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(250, 856) = 107000

GCD(250, 856) = ( 250 x 856 ) / 107000

GCD(250, 856) = 214000 / 107000

GCD(250, 856) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 298

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

LCM(2, 298) = 298

GCD(2, 298) = ( 2 x 298 ) / 298

GCD(2, 298) = 596 / 298

GCD(2, 298) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 282

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

LCM(2, 282) = 282

GCD(2, 282) = ( 2 x 282 ) / 282

GCD(2, 282) = 564 / 282

GCD(2, 282) = 2

GCD of 250, 856, 298, 282 is 2

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1. What is the GCD of 250, 856, 298, 282?

GCD of 250, 856, 298, 282 is 2

2. Where do I get the detailed procedure to find GCD of 250, 856, 298, 282?

You can find a detailed procedure to find GCD of 250, 856, 298, 282 on our page.

3. How to find GCD of 250, 856, 298, 282 on a calculator?

You can find the GCD of 250, 856, 298, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.