GCD of 814, 727, 65, 478 Calculator

Given Input numbers are 814, 727, 65, 478

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 727

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

1, 727

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Greatest Common Divisior

We found the divisors of 814, 727, 65, 478 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 727, 65, 478 is 1.

Therefore, GCD of numbers 814, 727, 65, 478 is 1

Given Input Data is 814, 727, 65, 478

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 727 is 727

Prime Factorization of 65 is 5 x 13

Prime Factorization of 478 is 2 x 239

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(814, 727) = 591778

GCD(814, 727) = ( 814 x 727 ) / 591778

GCD(814, 727) = 591778 / 591778

GCD(814, 727) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 478

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

LCM(1, 478) = 478

GCD(1, 478) = ( 1 x 478 ) / 478

GCD(1, 478) = 478 / 478

GCD(1, 478) = 1

GCD of 814, 727, 65, 478 is 1

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1. What is the GCD of 814, 727, 65, 478?

GCD of 814, 727, 65, 478 is 1

2. Where do I get the detailed procedure to find GCD of 814, 727, 65, 478?

You can find a detailed procedure to find GCD of 814, 727, 65, 478 on our page.

3. How to find GCD of 814, 727, 65, 478 on a calculator?

You can find the GCD of 814, 727, 65, 478 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.