GCD of 856, 227, 665, 112 Calculator

Given Input numbers are 856, 227, 665, 112

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 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Greatest Common Divisior

We found the divisors of 856, 227, 665, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 856, 227, 665, 112 is 1.

Therefore, GCD of numbers 856, 227, 665, 112 is 1

Given Input Data is 856, 227, 665, 112

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 227 is 227

Prime Factorization of 665 is 5 x 7 x 19

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

The above numbers do not have any common prime factor. So GCD is 1

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, 227) = 194312

GCD(856, 227) = ( 856 x 227 ) / 194312

GCD(856, 227) = 194312 / 194312

GCD(856, 227) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 665

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

LCM(1, 665) = 665

GCD(1, 665) = ( 1 x 665 ) / 665

GCD(1, 665) = 665 / 665

GCD(1, 665) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 856, 227, 665, 112 is 1

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1. What is the GCD of 856, 227, 665, 112?

GCD of 856, 227, 665, 112 is 1

2. Where do I get the detailed procedure to find GCD of 856, 227, 665, 112?

You can find a detailed procedure to find GCD of 856, 227, 665, 112 on our page.

3. How to find GCD of 856, 227, 665, 112 on a calculator?

You can find the GCD of 856, 227, 665, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.