GCD of 723, 996, 468 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 723, 996, 468 quickly. Get the easiest ways to solve the greatest common divisor of 723, 996, 468 i.e 3 in different methods as follows.
Given Input numbers are 723, 996, 468
In the factoring method, we have to find the divisors of all numbers
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
GCD of numbers is the greatest common divisor
So, the GCD (723, 996, 468) = 3.
Given numbers are 723, 996, 468
The list of prime factors of all numbers are
Prime factors of 723 are 3 x 241
Prime factors of 996 are 2 x 2 x 3 x 83
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
The highest common occurrence is 31
Therefore, GCD of 723, 996, 468 is 3.
Steps to Calculate GCD of 723, 996, 468 using LCM Formula
Given numbers are 723, 996, 468
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(723, 996) = 240036
GCD(723, 996) = ( 723 x 996 ) / 240036
= 723 / 996
= 723
Step2:
LCM(3, 468) = 468
GCD(3, 468) = ( 3 x 468 ) / 468
= 3 / 468
= 3
So, Greatest Common Divisor of 723, 996, 468 is 3
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 723, 996, 468
Given numbers are 723, 996, 468
The greatest common divisor of numbers 723, 996, 468 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 996, 468 is 3.
FAQs on GCD of 723, 996, 468 Calculator
1. What is the GCD of 723, 996, 468?
GCD of given numbers 723, 996, 468 is 3
2. How to calculate the greatest common divisor of 723, 996, 468?
We can find the highest common divisor of 723, 996, 468 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 723, 996, 468 i.e 3.
3. How can I use the GCD of 723, 996, 468Calculator?
Out the numbers 723, 996, 468 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.