GCD of 282, 296, 870, 834 Calculator

Given Input numbers are 282, 296, 870, 834

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

Divisors of 282

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

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

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 834

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

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

Greatest Common Divisior

We found the divisors of 282, 296, 870, 834 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 296, 870, 834 is 2.

Therefore, GCD of numbers 282, 296, 870, 834 is 2

Given Input Data is 282, 296, 870, 834

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

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 834 is 2 x 3 x 139

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(282, 296) = 41736

GCD(282, 296) = ( 282 x 296 ) / 41736

GCD(282, 296) = 83472 / 41736

GCD(282, 296) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 870

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

LCM(2, 870) = 870

GCD(2, 870) = ( 2 x 870 ) / 870

GCD(2, 870) = 1740 / 870

GCD(2, 870) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 834

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

LCM(2, 834) = 834

GCD(2, 834) = ( 2 x 834 ) / 834

GCD(2, 834) = 1668 / 834

GCD(2, 834) = 2

GCD of 282, 296, 870, 834 is 2

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1. What is the GCD of 282, 296, 870, 834?

GCD of 282, 296, 870, 834 is 2

2. Where do I get the detailed procedure to find GCD of 282, 296, 870, 834?

You can find a detailed procedure to find GCD of 282, 296, 870, 834 on our page.

3. How to find GCD of 282, 296, 870, 834 on a calculator?

You can find the GCD of 282, 296, 870, 834 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.