GCD of 727, 217, 464, 390 Calculator

Given Input numbers are 727, 217, 464, 390

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

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Greatest Common Divisior

We found the divisors of 727, 217, 464, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 727, 217, 464, 390 is 1.

Therefore, GCD of numbers 727, 217, 464, 390 is 1

Given Input Data is 727, 217, 464, 390

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

Prime Factorization of 727 is 727

Prime Factorization of 217 is 7 x 31

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 390 is 2 x 3 x 5 x 13

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(727, 217) = 157759

GCD(727, 217) = ( 727 x 217 ) / 157759

GCD(727, 217) = 157759 / 157759

GCD(727, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 464

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

LCM(1, 464) = 464

GCD(1, 464) = ( 1 x 464 ) / 464

GCD(1, 464) = 464 / 464

GCD(1, 464) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 390

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

LCM(1, 390) = 390

GCD(1, 390) = ( 1 x 390 ) / 390

GCD(1, 390) = 390 / 390

GCD(1, 390) = 1

GCD of 727, 217, 464, 390 is 1

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1. What is the GCD of 727, 217, 464, 390?

GCD of 727, 217, 464, 390 is 1

2. Where do I get the detailed procedure to find GCD of 727, 217, 464, 390?

You can find a detailed procedure to find GCD of 727, 217, 464, 390 on our page.

3. How to find GCD of 727, 217, 464, 390 on a calculator?

You can find the GCD of 727, 217, 464, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.