GCD of 795, 753, 441, 199 Calculator

Given Input numbers are 795, 753, 441, 199

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

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Greatest Common Divisior

We found the divisors of 795, 753, 441, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 795, 753, 441, 199 is 1.

Therefore, GCD of numbers 795, 753, 441, 199 is 1

Given Input Data is 795, 753, 441, 199

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

Prime Factorization of 795 is 3 x 5 x 53

Prime Factorization of 753 is 3 x 251

Prime Factorization of 441 is 3 x 3 x 7 x 7

Prime Factorization of 199 is 199

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(795, 753) = 199545

GCD(795, 753) = ( 795 x 753 ) / 199545

GCD(795, 753) = 598635 / 199545

GCD(795, 753) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 441

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

LCM(3, 441) = 441

GCD(3, 441) = ( 3 x 441 ) / 441

GCD(3, 441) = 1323 / 441

GCD(3, 441) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 199

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

LCM(3, 199) = 597

GCD(3, 199) = ( 3 x 199 ) / 597

GCD(3, 199) = 597 / 597

GCD(3, 199) = 1

GCD of 795, 753, 441, 199 is 1

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1. What is the GCD of 795, 753, 441, 199?

GCD of 795, 753, 441, 199 is 1

2. Where do I get the detailed procedure to find GCD of 795, 753, 441, 199?

You can find a detailed procedure to find GCD of 795, 753, 441, 199 on our page.

3. How to find GCD of 795, 753, 441, 199 on a calculator?

You can find the GCD of 795, 753, 441, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.