GCD of 393, 367, 109, 747 Calculator

Given Input numbers are 393, 367, 109, 747

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

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 747

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

1, 3, 9, 83, 249, 747

Greatest Common Divisior

We found the divisors of 393, 367, 109, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 393, 367, 109, 747 is 1.

Therefore, GCD of numbers 393, 367, 109, 747 is 1

Given Input Data is 393, 367, 109, 747

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

Prime Factorization of 393 is 3 x 131

Prime Factorization of 367 is 367

Prime Factorization of 109 is 109

Prime Factorization of 747 is 3 x 3 x 83

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(393, 367) = 144231

GCD(393, 367) = ( 393 x 367 ) / 144231

GCD(393, 367) = 144231 / 144231

GCD(393, 367) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

Step3:

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

GCD of 393, 367, 109, 747 is 1

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1. What is the GCD of 393, 367, 109, 747?

GCD of 393, 367, 109, 747 is 1

2. Where do I get the detailed procedure to find GCD of 393, 367, 109, 747?

You can find a detailed procedure to find GCD of 393, 367, 109, 747 on our page.

3. How to find GCD of 393, 367, 109, 747 on a calculator?

You can find the GCD of 393, 367, 109, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.