GCD of 744, 348, 226, 815 Calculator

Given Input numbers are 744, 348, 226, 815

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

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 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 226

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

1, 2, 113, 226

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Greatest Common Divisior

We found the divisors of 744, 348, 226, 815 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 348, 226, 815 is 1.

Therefore, GCD of numbers 744, 348, 226, 815 is 1

Given Input Data is 744, 348, 226, 815

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

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 226 is 2 x 113

Prime Factorization of 815 is 5 x 163

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(744, 348) = 21576

GCD(744, 348) = ( 744 x 348 ) / 21576

GCD(744, 348) = 258912 / 21576

GCD(744, 348) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 226

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

LCM(12, 226) = 1356

GCD(12, 226) = ( 12 x 226 ) / 1356

GCD(12, 226) = 2712 / 1356

GCD(12, 226) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 815

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

LCM(2, 815) = 1630

GCD(2, 815) = ( 2 x 815 ) / 1630

GCD(2, 815) = 1630 / 1630

GCD(2, 815) = 1

GCD of 744, 348, 226, 815 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 936, 393, 539, 520
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• GCD of 226, 768, 886, 633
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• GCD of 672, 608, 269, 493

1. What is the GCD of 744, 348, 226, 815?

GCD of 744, 348, 226, 815 is 1

2. Where do I get the detailed procedure to find GCD of 744, 348, 226, 815?

You can find a detailed procedure to find GCD of 744, 348, 226, 815 on our page.

3. How to find GCD of 744, 348, 226, 815 on a calculator?

You can find the GCD of 744, 348, 226, 815 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.