GCD of 226, 741, 785, 133 Calculator

Given Input numbers are 226, 741, 785, 133

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 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 226, 741, 785, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 741, 785, 133 is 1.

Therefore, GCD of numbers 226, 741, 785, 133 is 1

Given Input Data is 226, 741, 785, 133

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

Prime Factorization of 226 is 2 x 113

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 785 is 5 x 157

Prime Factorization of 133 is 7 x 19

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, 741) = 167466

GCD(226, 741) = ( 226 x 741 ) / 167466

GCD(226, 741) = 167466 / 167466

GCD(226, 741) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 785

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

LCM(1, 785) = 785

GCD(1, 785) = ( 1 x 785 ) / 785

GCD(1, 785) = 785 / 785

GCD(1, 785) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 133

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

LCM(1, 133) = 133

GCD(1, 133) = ( 1 x 133 ) / 133

GCD(1, 133) = 133 / 133

GCD(1, 133) = 1

GCD of 226, 741, 785, 133 is 1

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1. What is the GCD of 226, 741, 785, 133?

GCD of 226, 741, 785, 133 is 1

2. Where do I get the detailed procedure to find GCD of 226, 741, 785, 133?

You can find a detailed procedure to find GCD of 226, 741, 785, 133 on our page.

3. How to find GCD of 226, 741, 785, 133 on a calculator?

You can find the GCD of 226, 741, 785, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.