GCD of 738, 449, 107 Calculator

Given Input numbers are 738, 449, 107

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

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Greatest Common Divisior

We found the divisors of 738, 449, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 449, 107 is 1.

Therefore, GCD of numbers 738, 449, 107 is 1

Given Input Data is 738, 449, 107

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 449 is 449

Prime Factorization of 107 is 107

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(738, 449) = 331362

GCD(738, 449) = ( 738 x 449 ) / 331362

GCD(738, 449) = 331362 / 331362

GCD(738, 449) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 107

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

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

GCD(1, 107) = 107 / 107

GCD(1, 107) = 1

GCD of 738, 449, 107 is 1

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1. What is the GCD of 738, 449, 107?

GCD of 738, 449, 107 is 1

2. Where do I get the detailed procedure to find GCD of 738, 449, 107?

You can find a detailed procedure to find GCD of 738, 449, 107 on our page.

3. How to find GCD of 738, 449, 107 on a calculator?

You can find the GCD of 738, 449, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.