GCD of 726, 722, 394 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 726, 722, 394 quickly. Get the easiest ways to solve the greatest common divisor of 726, 722, 394 i.e 2 in different methods as follows.
Given Input numbers are 726, 722, 394
In the factoring method, we have to find the divisors of all numbers
Divisors of 726 :
The positive integer divisors of 726 that completely divides 726 are.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
Divisors of 394 :
The positive integer divisors of 394 that completely divides 394 are.
1, 2, 197, 394
GCD of numbers is the greatest common divisor
So, the GCD (726, 722, 394) = 2.
Given numbers are 726, 722, 394
The list of prime factors of all numbers are
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 722 are 2 x 19 x 19
Prime factors of 394 are 2 x 197
The highest common occurrence is 21
Therefore, GCD of 726, 722, 394 is 2.
Steps to Calculate GCD of 726, 722, 394 using LCM Formula
Given numbers are 726, 722, 394
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(726, 722) = 262086
GCD(726, 722) = ( 726 x 722 ) / 262086
= 726 / 722
= 726
Step2:
LCM(2, 394) = 394
GCD(2, 394) = ( 2 x 394 ) / 394
= 2 / 394
= 2
So, Greatest Common Divisor of 726, 722, 394 is 2
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 726, 722, 394
Given numbers are 726, 722, 394
The greatest common divisor of numbers 726, 722, 394 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 722, 394 is 2.
FAQs on GCD of 726, 722, 394 Calculator
1. What is the GCD of 726, 722, 394?
GCD of given numbers 726, 722, 394 is 2
2. How to calculate the greatest common divisor of 726, 722, 394?
We can find the highest common divisor of 726, 722, 394 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 726, 722, 394 i.e 2.
3. How can I use the GCD of 726, 722, 394Calculator?
Out the numbers 726, 722, 394 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.