GCD of 729, 107, 427, 765 Calculator

Given Input numbers are 729, 107, 427, 765

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

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 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Greatest Common Divisior

We found the divisors of 729, 107, 427, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 107, 427, 765 is 1.

Therefore, GCD of numbers 729, 107, 427, 765 is 1

Given Input Data is 729, 107, 427, 765

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

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

Prime Factorization of 107 is 107

Prime Factorization of 427 is 7 x 61

Prime Factorization of 765 is 3 x 3 x 5 x 17

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(729, 107) = 78003

GCD(729, 107) = ( 729 x 107 ) / 78003

GCD(729, 107) = 78003 / 78003

GCD(729, 107) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 427

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

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

GCD(1, 427) = 427 / 427

GCD(1, 427) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 765

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

LCM(1, 765) = 765

GCD(1, 765) = ( 1 x 765 ) / 765

GCD(1, 765) = 765 / 765

GCD(1, 765) = 1

GCD of 729, 107, 427, 765 is 1

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1. What is the GCD of 729, 107, 427, 765?

GCD of 729, 107, 427, 765 is 1

2. Where do I get the detailed procedure to find GCD of 729, 107, 427, 765?

You can find a detailed procedure to find GCD of 729, 107, 427, 765 on our page.

3. How to find GCD of 729, 107, 427, 765 on a calculator?

You can find the GCD of 729, 107, 427, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.