GCD of 202, 294, 882, 856 Calculator

Given Input numbers are 202, 294, 882, 856

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

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 856

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

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

Greatest Common Divisior

We found the divisors of 202, 294, 882, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 202, 294, 882, 856 is 2.

Therefore, GCD of numbers 202, 294, 882, 856 is 2

Given Input Data is 202, 294, 882, 856

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

Prime Factorization of 202 is 2 x 101

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

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

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(202, 294) = 29694

GCD(202, 294) = ( 202 x 294 ) / 29694

GCD(202, 294) = 59388 / 29694

GCD(202, 294) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 882

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

LCM(2, 882) = 882

GCD(2, 882) = ( 2 x 882 ) / 882

GCD(2, 882) = 1764 / 882

GCD(2, 882) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 856

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

LCM(2, 856) = 856

GCD(2, 856) = ( 2 x 856 ) / 856

GCD(2, 856) = 1712 / 856

GCD(2, 856) = 2

GCD of 202, 294, 882, 856 is 2

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1. What is the GCD of 202, 294, 882, 856?

GCD of 202, 294, 882, 856 is 2

2. Where do I get the detailed procedure to find GCD of 202, 294, 882, 856?

You can find a detailed procedure to find GCD of 202, 294, 882, 856 on our page.

3. How to find GCD of 202, 294, 882, 856 on a calculator?

You can find the GCD of 202, 294, 882, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.