GCD of 726, 407, 89 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, 407, 89 i.e. 1 largest integer that divides all the numbers equally.
GCD of 726, 407, 89 is 1
GCD(726, 407, 89) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 726, 407, 89 is 1
GCD(726, 407, 89) = 1
GCDof 726,407,89 is 1
Given Input numbers are 726, 407, 89
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 407
List of positive integer divisors of 407 that divides 407 without a remainder.
1, 11, 37, 407
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Greatest Common Divisior
We found the divisors of 726, 407, 89 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 407, 89 is 1.
Therefore, GCD of numbers 726, 407, 89 is 1
Given Input Data is 726, 407, 89
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 407 is 11 x 37
Prime Factorization of 89 is 89
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 726, 407, 89 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, 407) = 26862
GCD(726, 407) = ( 726 x 407 ) / 26862
GCD(726, 407) = 295482 / 26862
GCD(726, 407) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 89) = 979
GCD(11, 89) = ( 11 x 89 ) / 979
GCD(11, 89) = 979 / 979
GCD(11, 89) = 1
GCD of 726, 407, 89 is 1
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FAQs on GCD of numbers 726, 407, 89
1. What is the GCD of 726, 407, 89?
GCD of 726, 407, 89 is 1
2. Where do I get the detailed procedure to find GCD of 726, 407, 89?
You can find a detailed procedure to find GCD of 726, 407, 89 on our page.
3. How to find GCD of 726, 407, 89 on a calculator?
You can find the GCD of 726, 407, 89 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.