GCD of 226, 744, 13, 752 Calculator

Given Input numbers are 226, 744, 13, 752

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 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Greatest Common Divisior

We found the divisors of 226, 744, 13, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 744, 13, 752 is 1.

Therefore, GCD of numbers 226, 744, 13, 752 is 1

Given Input Data is 226, 744, 13, 752

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

Prime Factorization of 226 is 2 x 113

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 13 is 13

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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, 744) = 84072

GCD(226, 744) = ( 226 x 744 ) / 84072

GCD(226, 744) = 168144 / 84072

GCD(226, 744) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 13

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

LCM(2, 13) = 26

GCD(2, 13) = ( 2 x 13 ) / 26

GCD(2, 13) = 26 / 26

GCD(2, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 752

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

LCM(1, 752) = 752

GCD(1, 752) = ( 1 x 752 ) / 752

GCD(1, 752) = 752 / 752

GCD(1, 752) = 1

GCD of 226, 744, 13, 752 is 1

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1. What is the GCD of 226, 744, 13, 752?

GCD of 226, 744, 13, 752 is 1

2. Where do I get the detailed procedure to find GCD of 226, 744, 13, 752?

You can find a detailed procedure to find GCD of 226, 744, 13, 752 on our page.

3. How to find GCD of 226, 744, 13, 752 on a calculator?

You can find the GCD of 226, 744, 13, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.