GCD of 100, 681, 56, 729 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 100, 681, 56, 729 i.e. 1 largest integer that divides all the numbers equally.

GCD of 100, 681, 56, 729 is 1

GCD(100, 681, 56, 729) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 100, 681, 56, 729 is 1

GCD(100, 681, 56, 729) = 1

GCD of 100,681,56,729 Calculator

GCDof 100,681,56,729 is 1

Given Input numbers are 100, 681, 56, 729

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 729

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

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

Greatest Common Divisior

We found the divisors of 100, 681, 56, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 681, 56, 729 is 1.

Therefore, GCD of numbers 100, 681, 56, 729 is 1

Finding GCD of 100, 681, 56, 729 using Prime Factorization

Given Input Data is 100, 681, 56, 729

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 681 is 3 x 227

Prime Factorization of 56 is 2 x 2 x 2 x 7

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

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 100, 681, 56, 729 using LCM Formula

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(100, 681) = 68100

GCD(100, 681) = ( 100 x 681 ) / 68100

GCD(100, 681) = 68100 / 68100

GCD(100, 681) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1


Step3:

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

GCD of 100, 681, 56, 729 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 100, 681, 56, 729

1. What is the GCD of 100, 681, 56, 729?

GCD of 100, 681, 56, 729 is 1


2. Where do I get the detailed procedure to find GCD of 100, 681, 56, 729?

You can find a detailed procedure to find GCD of 100, 681, 56, 729 on our page.


3. How to find GCD of 100, 681, 56, 729 on a calculator?

You can find the GCD of 100, 681, 56, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.