GCD of 738, 449, 747, 774 Calculator

Given Input numbers are 738, 449, 747, 774

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 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 738, 449, 747, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 449, 747, 774 is 1.

Therefore, GCD of numbers 738, 449, 747, 774 is 1

Given Input Data is 738, 449, 747, 774

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 747 is 3 x 3 x 83

Prime Factorization of 774 is 2 x 3 x 3 x 43

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 747

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

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

GCD(1, 747) = 747 / 747

GCD(1, 747) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

GCD of 738, 449, 747, 774 is 1

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1. What is the GCD of 738, 449, 747, 774?

GCD of 738, 449, 747, 774 is 1

2. Where do I get the detailed procedure to find GCD of 738, 449, 747, 774?

You can find a detailed procedure to find GCD of 738, 449, 747, 774 on our page.

3. How to find GCD of 738, 449, 747, 774 on a calculator?

You can find the GCD of 738, 449, 747, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.