GCD of 271, 514, 729, 465 Calculator

Given Input numbers are 271, 514, 729, 465

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

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Greatest Common Divisior

We found the divisors of 271, 514, 729, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 271, 514, 729, 465 is 1.

Therefore, GCD of numbers 271, 514, 729, 465 is 1

Given Input Data is 271, 514, 729, 465

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

Prime Factorization of 271 is 271

Prime Factorization of 514 is 2 x 257

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 465 is 3 x 5 x 31

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(271, 514) = 139294

GCD(271, 514) = ( 271 x 514 ) / 139294

GCD(271, 514) = 139294 / 139294

GCD(271, 514) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 729

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

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

GCD(1, 729) = 729 / 729

GCD(1, 729) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 465

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

LCM(1, 465) = 465

GCD(1, 465) = ( 1 x 465 ) / 465

GCD(1, 465) = 465 / 465

GCD(1, 465) = 1

GCD of 271, 514, 729, 465 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 320, 142, 102, 616
• GCD of 848, 556, 767, 449
• GCD of 237, 904, 279, 322
• GCD of 503, 184, 702, 375
• GCD of 564, 568, 347, 293

1. What is the GCD of 271, 514, 729, 465?

GCD of 271, 514, 729, 465 is 1

2. Where do I get the detailed procedure to find GCD of 271, 514, 729, 465?

You can find a detailed procedure to find GCD of 271, 514, 729, 465 on our page.

3. How to find GCD of 271, 514, 729, 465 on a calculator?

You can find the GCD of 271, 514, 729, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.