GCD of 226, 369, 856, 110 Calculator

Given Input numbers are 226, 369, 856, 110

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

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

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 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Greatest Common Divisior

We found the divisors of 226, 369, 856, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 369, 856, 110 is 1.

Therefore, GCD of numbers 226, 369, 856, 110 is 1

Given Input Data is 226, 369, 856, 110

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

Prime Factorization of 226 is 2 x 113

Prime Factorization of 369 is 3 x 3 x 41

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

Prime Factorization of 110 is 2 x 5 x 11

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(226, 369) = 83394

GCD(226, 369) = ( 226 x 369 ) / 83394

GCD(226, 369) = 83394 / 83394

GCD(226, 369) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 856

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

LCM(1, 856) = 856

GCD(1, 856) = ( 1 x 856 ) / 856

GCD(1, 856) = 856 / 856

GCD(1, 856) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 110

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

LCM(1, 110) = 110

GCD(1, 110) = ( 1 x 110 ) / 110

GCD(1, 110) = 110 / 110

GCD(1, 110) = 1

GCD of 226, 369, 856, 110 is 1

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1. What is the GCD of 226, 369, 856, 110?

GCD of 226, 369, 856, 110 is 1

2. Where do I get the detailed procedure to find GCD of 226, 369, 856, 110?

You can find a detailed procedure to find GCD of 226, 369, 856, 110 on our page.

3. How to find GCD of 226, 369, 856, 110 on a calculator?

You can find the GCD of 226, 369, 856, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.