GCD of 107, 812, 729, 650 Calculator

Given Input numbers are 107, 812, 729, 650

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

Divisors of 107

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

1, 107

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

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 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Greatest Common Divisior

We found the divisors of 107, 812, 729, 650 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 812, 729, 650 is 1.

Therefore, GCD of numbers 107, 812, 729, 650 is 1

Given Input Data is 107, 812, 729, 650

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

Prime Factorization of 107 is 107

Prime Factorization of 812 is 2 x 2 x 7 x 29

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

Prime Factorization of 650 is 2 x 5 x 5 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(107, 812) = 86884

GCD(107, 812) = ( 107 x 812 ) / 86884

GCD(107, 812) = 86884 / 86884

GCD(107, 812) = 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 650

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

LCM(1, 650) = 650

GCD(1, 650) = ( 1 x 650 ) / 650

GCD(1, 650) = 650 / 650

GCD(1, 650) = 1

GCD of 107, 812, 729, 650 is 1

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1. What is the GCD of 107, 812, 729, 650?

GCD of 107, 812, 729, 650 is 1

2. Where do I get the detailed procedure to find GCD of 107, 812, 729, 650?

You can find a detailed procedure to find GCD of 107, 812, 729, 650 on our page.

3. How to find GCD of 107, 812, 729, 650 on a calculator?

You can find the GCD of 107, 812, 729, 650 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.