GCD of 726, 843, 100 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 726, 843, 100 i.e. 1 largest integer that divides all the numbers equally.
GCD of 726, 843, 100 is 1
GCD(726, 843, 100) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 726, 843, 100 is 1
GCD(726, 843, 100) = 1
GCDof 726,843,100 is 1
Given Input numbers are 726, 843, 100
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 726
List of positive integer divisors of 726 that divides 726 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Divisors of 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
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
Greatest Common Divisior
We found the divisors of 726, 843, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 843, 100 is 1.
Therefore, GCD of numbers 726, 843, 100 is 1
Given Input Data is 726, 843, 100
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 726 is 2 x 3 x 11 x 11
Prime Factorization of 843 is 3 x 281
Prime Factorization of 100 is 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 726, 843, 100 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(726, 843) = 204006
GCD(726, 843) = ( 726 x 843 ) / 204006
GCD(726, 843) = 612018 / 204006
GCD(726, 843) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 100
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 100) = 300
GCD(3, 100) = ( 3 x 100 ) / 300
GCD(3, 100) = 300 / 300
GCD(3, 100) = 1
GCD of 726, 843, 100 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 726, 843, 100
1. What is the GCD of 726, 843, 100?
GCD of 726, 843, 100 is 1
2. Where do I get the detailed procedure to find GCD of 726, 843, 100?
You can find a detailed procedure to find GCD of 726, 843, 100 on our page.
3. How to find GCD of 726, 843, 100 on a calculator?
You can find the GCD of 726, 843, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.