GCD of 50, 834, 428, 284 Calculator

Given Input numbers are 50, 834, 428, 284

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

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 284

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

1, 2, 4, 71, 142, 284

Greatest Common Divisior

We found the divisors of 50, 834, 428, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 834, 428, 284 is 2.

Therefore, GCD of numbers 50, 834, 428, 284 is 2

Given Input Data is 50, 834, 428, 284

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 834 is 2 x 3 x 139

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 284 is 2 x 2 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(50, 834) = 20850

GCD(50, 834) = ( 50 x 834 ) / 20850

GCD(50, 834) = 41700 / 20850

GCD(50, 834) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 428

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

LCM(2, 428) = 428

GCD(2, 428) = ( 2 x 428 ) / 428

GCD(2, 428) = 856 / 428

GCD(2, 428) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 284

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

LCM(2, 284) = 284

GCD(2, 284) = ( 2 x 284 ) / 284

GCD(2, 284) = 568 / 284

GCD(2, 284) = 2

GCD of 50, 834, 428, 284 is 2

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• GCD of 65, 315, 222, 763
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• GCD of 65, 514, 731, 186

1. What is the GCD of 50, 834, 428, 284?

GCD of 50, 834, 428, 284 is 2

2. Where do I get the detailed procedure to find GCD of 50, 834, 428, 284?

You can find a detailed procedure to find GCD of 50, 834, 428, 284 on our page.

3. How to find GCD of 50, 834, 428, 284 on a calculator?

You can find the GCD of 50, 834, 428, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.