GCD of 609, 399, 726 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 609, 399, 726 quickly. Get the easiest ways to solve the greatest common divisor of 609, 399, 726 i.e 3 in different methods as follows.
Given Input numbers are 609, 399, 726
In the factoring method, we have to find the divisors of all numbers
Divisors of 609 :
The positive integer divisors of 609 that completely divides 609 are.
1, 3, 7, 21, 29, 87, 203, 609
Divisors of 399 :
The positive integer divisors of 399 that completely divides 399 are.
1, 3, 7, 19, 21, 57, 133, 399
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
GCD of numbers is the greatest common divisor
So, the GCD (609, 399, 726) = 3.
Given numbers are 609, 399, 726
The list of prime factors of all numbers are
Prime factors of 609 are 3 x 7 x 29
Prime factors of 399 are 3 x 7 x 19
Prime factors of 726 are 2 x 3 x 11 x 11
The highest common occurrence is 31
Therefore, GCD of 609, 399, 726 is 3.
Steps to Calculate GCD of 609, 399, 726 using LCM Formula
Given numbers are 609, 399, 726
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(609, 399) = 11571
GCD(609, 399) = ( 609 x 399 ) / 11571
= 609 / 399
= 609
Step2:
LCM(21, 726) = 5082
GCD(21, 726) = ( 21 x 726 ) / 5082
= 21 / 726
= 21
So, Greatest Common Divisor of 609, 399, 726 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 609, 399, 726
Given numbers are 609, 399, 726
The greatest common divisor of numbers 609, 399, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 609, 399, 726 is 3.
FAQs on GCD of 609, 399, 726 Calculator
1. What is the GCD of 609, 399, 726?
GCD of given numbers 609, 399, 726 is 3
2. How to calculate the greatest common divisor of 609, 399, 726?
We can find the highest common divisor of 609, 399, 726 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 609, 399, 726 i.e 3.
3. How can I use the GCD of 609, 399, 726Calculator?
Out the numbers 609, 399, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.