GCD of 226, 160, 728, 873 Calculator

Given Input numbers are 226, 160, 728, 873

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 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Greatest Common Divisior

We found the divisors of 226, 160, 728, 873 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 160, 728, 873 is 1.

Therefore, GCD of numbers 226, 160, 728, 873 is 1

Given Input Data is 226, 160, 728, 873

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

Prime Factorization of 226 is 2 x 113

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 873 is 3 x 3 x 97

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, 160) = 18080

GCD(226, 160) = ( 226 x 160 ) / 18080

GCD(226, 160) = 36160 / 18080

GCD(226, 160) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 728

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

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

GCD(2, 728) = 1456 / 728

GCD(2, 728) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 873

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

LCM(2, 873) = 1746

GCD(2, 873) = ( 2 x 873 ) / 1746

GCD(2, 873) = 1746 / 1746

GCD(2, 873) = 1

GCD of 226, 160, 728, 873 is 1

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1. What is the GCD of 226, 160, 728, 873?

GCD of 226, 160, 728, 873 is 1

2. Where do I get the detailed procedure to find GCD of 226, 160, 728, 873?

You can find a detailed procedure to find GCD of 226, 160, 728, 873 on our page.

3. How to find GCD of 226, 160, 728, 873 on a calculator?

You can find the GCD of 226, 160, 728, 873 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.