GCD of 856, 874, 228 Calculator

Given Input numbers are 856, 874, 228

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

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 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Greatest Common Divisior

We found the divisors of 856, 874, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 856, 874, 228 is 2.

Therefore, GCD of numbers 856, 874, 228 is 2

Given Input Data is 856, 874, 228

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

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 228 is 2 x 2 x 3 x 19

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(856, 874) = 374072

GCD(856, 874) = ( 856 x 874 ) / 374072

GCD(856, 874) = 748144 / 374072

GCD(856, 874) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 228

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

LCM(2, 228) = 228

GCD(2, 228) = ( 2 x 228 ) / 228

GCD(2, 228) = 456 / 228

GCD(2, 228) = 2

GCD of 856, 874, 228 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 436, 321, 679
• GCD of 740, 500, 568
• GCD of 118, 231, 919
• GCD of 468, 872, 117
• GCD of 170, 894, 604

1. What is the GCD of 856, 874, 228?

GCD of 856, 874, 228 is 2

2. Where do I get the detailed procedure to find GCD of 856, 874, 228?

You can find a detailed procedure to find GCD of 856, 874, 228 on our page.

3. How to find GCD of 856, 874, 228 on a calculator?

You can find the GCD of 856, 874, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.