GCD of 727, 414, 29, 715 Calculator

Given Input numbers are 727, 414, 29, 715

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 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Greatest Common Divisior

We found the divisors of 727, 414, 29, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 727, 414, 29, 715 is 1.

Therefore, GCD of numbers 727, 414, 29, 715 is 1

Given Input Data is 727, 414, 29, 715

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

Prime Factorization of 727 is 727

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 29 is 29

Prime Factorization of 715 is 5 x 11 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, 414) = 300978

GCD(727, 414) = ( 727 x 414 ) / 300978

GCD(727, 414) = 300978 / 300978

GCD(727, 414) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 715

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

LCM(1, 715) = 715

GCD(1, 715) = ( 1 x 715 ) / 715

GCD(1, 715) = 715 / 715

GCD(1, 715) = 1

GCD of 727, 414, 29, 715 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 465, 726, 69, 199
• GCD of 212, 403, 66, 328
• GCD of 504, 311, 71, 751
• GCD of 576, 538, 36, 155
• GCD of 583, 688, 30, 863

1. What is the GCD of 727, 414, 29, 715?

GCD of 727, 414, 29, 715 is 1

2. Where do I get the detailed procedure to find GCD of 727, 414, 29, 715?

You can find a detailed procedure to find GCD of 727, 414, 29, 715 on our page.

3. How to find GCD of 727, 414, 29, 715 on a calculator?

You can find the GCD of 727, 414, 29, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.