GCD of 365, 729, 795, 114 Calculator

Given Input numbers are 365, 729, 795, 114

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

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

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 795

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

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 365, 729, 795, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 729, 795, 114 is 1.

Therefore, GCD of numbers 365, 729, 795, 114 is 1

Given Input Data is 365, 729, 795, 114

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

Prime Factorization of 365 is 5 x 73

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

Prime Factorization of 795 is 3 x 5 x 53

Prime Factorization of 114 is 2 x 3 x 19

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(365, 729) = 266085

GCD(365, 729) = ( 365 x 729 ) / 266085

GCD(365, 729) = 266085 / 266085

GCD(365, 729) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 795

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

LCM(1, 795) = 795

GCD(1, 795) = ( 1 x 795 ) / 795

GCD(1, 795) = 795 / 795

GCD(1, 795) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 365, 729, 795, 114 is 1

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1. What is the GCD of 365, 729, 795, 114?

GCD of 365, 729, 795, 114 is 1

2. Where do I get the detailed procedure to find GCD of 365, 729, 795, 114?

You can find a detailed procedure to find GCD of 365, 729, 795, 114 on our page.

3. How to find GCD of 365, 729, 795, 114 on a calculator?

You can find the GCD of 365, 729, 795, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.